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Finding the Fourth Proportional to 17,778.25, 24,535.14 and 9,820.58

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Solution

The fourth proportional to 17,778.25, 24,535.14 and 9,820.58 is: 13,553.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,778.25 : 24,535.14 = 9,820.58 : x
  2. Step 2: Convert to fraction form
    17,778.25/24,535.14 = 9,820.58/x
  3. Step 3: Cross multiply
    17,778.25x = 24,535.14 × 9,820.58
  4. Step 4: Simplify right side
    17,778.25x = 240,949,305.18
  5. Step 5: Solve for x
    x = 240,949,305.18/17,778.25
  6. Step 6: Final answer
    x = 13,553.04

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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.