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Finding the Fourth Proportional to 24,506.64, 33,810 and 14,428.92

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Solution

The fourth proportional to 24,506.64, 33,810 and 14,428.92 is: 19,906.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,506.64 : 33,810 = 14,428.92 : x
  2. Step 2: Convert to fraction form
    24,506.64/33,810 = 14,428.92/x
  3. Step 3: Cross multiply
    24,506.64x = 33,810 × 14,428.92
  4. Step 4: Simplify right side
    24,506.64x = 487,841,785.20
  5. Step 5: Solve for x
    x = 487,841,785.20/24,506.64
  6. Step 6: Final answer
    x = 19,906.51

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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.