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Finding the Fourth Proportional to 24,612.84, 33,968.57 and 14,004.14

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Solution

The fourth proportional to 24,612.84, 33,968.57 and 14,004.14 is: 19,327.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,612.84 : 33,968.57 = 14,004.14 : x
  2. Step 2: Convert to fraction form
    24,612.84/33,968.57 = 14,004.14/x
  3. Step 3: Cross multiply
    24,612.84x = 33,968.57 × 14,004.14
  4. Step 4: Simplify right side
    24,612.84x = 475,700,370.02
  5. Step 5: Solve for x
    x = 475,700,370.02/24,612.84
  6. Step 6: Final answer
    x = 19,327.33

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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.