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Finding the Fourth Proportional to 24,320, 33,552.78 and 14,244.77

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Solution

The fourth proportional to 24,320, 33,552.78 and 14,244.77 is: 19,652.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,320 : 33,552.78 = 14,244.77 : x
  2. Step 2: Convert to fraction form
    24,320/33,552.78 = 14,244.77/x
  3. Step 3: Cross multiply
    24,320x = 33,552.78 × 14,244.77
  4. Step 4: Simplify right side
    24,320x = 477,951,633.96
  5. Step 5: Solve for x
    x = 477,951,633.96/24,320
  6. Step 6: Final answer
    x = 19,652.62

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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.