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Finding the Fourth Proportional to 24,377.52, 33,638.52 and 14,165.76

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Solution

The fourth proportional to 24,377.52, 33,638.52 and 14,165.76 is: 19,547.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,377.52 : 33,638.52 = 14,165.76 : x
  2. Step 2: Convert to fraction form
    24,377.52/33,638.52 = 14,165.76/x
  3. Step 3: Cross multiply
    24,377.52x = 33,638.52 × 14,165.76
  4. Step 4: Simplify right side
    24,377.52x = 476,515,201.08
  5. Step 5: Solve for x
    x = 476,515,201.08/24,377.52
  6. Step 6: Final answer
    x = 19,547.32

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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.