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Finding the Fourth Proportional to 24,564.64, 33,901.68 and 14,496.16

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Solution

The fourth proportional to 24,564.64, 33,901.68 and 14,496.16 is: 20,006.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,564.64 : 33,901.68 = 14,496.16 : x
  2. Step 2: Convert to fraction form
    24,564.64/33,901.68 = 14,496.16/x
  3. Step 3: Cross multiply
    24,564.64x = 33,901.68 × 14,496.16
  4. Step 4: Simplify right side
    24,564.64x = 491,444,177.55
  5. Step 5: Solve for x
    x = 491,444,177.55/24,564.64
  6. Step 6: Final answer
    x = 20,006.16

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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.