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Finding the Fourth Proportional to 24,547.68, 33,865.02 and 16,587

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Solution

The fourth proportional to 24,547.68, 33,865.02 and 16,587 is: 22,882.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,547.68 : 33,865.02 = 16,587 : x
  2. Step 2: Convert to fraction form
    24,547.68/33,865.02 = 16,587/x
  3. Step 3: Cross multiply
    24,547.68x = 33,865.02 × 16,587
  4. Step 4: Simplify right side
    24,547.68x = 561,719,086.74
  5. Step 5: Solve for x
    x = 561,719,086.74/24,547.68
  6. Step 6: Final answer
    x = 22,882.78

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