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Finding the Fourth Proportional to 24,152.84, 33,327.84 and 14,078.76

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Solution

The fourth proportional to 24,152.84, 33,327.84 and 14,078.76 is: 19,426.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,152.84 : 33,327.84 = 14,078.76 : x
  2. Step 2: Convert to fraction form
    24,152.84/33,327.84 = 14,078.76/x
  3. Step 3: Cross multiply
    24,152.84x = 33,327.84 × 14,078.76
  4. Step 4: Simplify right side
    24,152.84x = 469,214,660.68
  5. Step 5: Solve for x
    x = 469,214,660.68/24,152.84
  6. Step 6: Final answer
    x = 19,426.89

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Half scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.