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Finding the Fourth Proportional to 19,642.46, 29,453.85 and 9,787.19

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Solution

The fourth proportional to 19,642.46, 29,453.85 and 9,787.19 is: 14,675.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,642.46 : 29,453.85 = 9,787.19 : x
  2. Step 2: Convert to fraction form
    19,642.46/29,453.85 = 9,787.19/x
  3. Step 3: Cross multiply
    19,642.46x = 29,453.85 × 9,787.19
  4. Step 4: Simplify right side
    19,642.46x = 288,270,278.91
  5. Step 5: Solve for x
    x = 288,270,278.91/19,642.46
  6. Step 6: Final answer
    x = 14,675.88

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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.