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Finding the Fourth Proportional to 19,972.44, 29,965.14 and 9,585

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Solution

The fourth proportional to 19,972.44, 29,965.14 and 9,585 is: 14,380.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,972.44 : 29,965.14 = 9,585 : x
  2. Step 2: Convert to fraction form
    19,972.44/29,965.14 = 9,585/x
  3. Step 3: Cross multiply
    19,972.44x = 29,965.14 × 9,585
  4. Step 4: Simplify right side
    19,972.44x = 287,215,866.90
  5. Step 5: Solve for x
    x = 287,215,866.90/19,972.44
  6. Step 6: Final answer
    x = 14,380.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.