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Finding the Fourth Proportional to 19,531.68, 29,304 and 12,983.64

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Solution

The fourth proportional to 19,531.68, 29,304 and 12,983.64 is: 19,479.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,531.68 : 29,304 = 12,983.64 : x
  2. Step 2: Convert to fraction form
    19,531.68/29,304 = 12,983.64/x
  3. Step 3: Cross multiply
    19,531.68x = 29,304 × 12,983.64
  4. Step 4: Simplify right side
    19,531.68x = 380,472,586.56
  5. Step 5: Solve for x
    x = 380,472,586.56/19,531.68
  6. Step 6: Final answer
    x = 19,479.77

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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.