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Finding the Fourth Proportional to 19,817.52, 29,706.80 and 9,436.56

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Solution

The fourth proportional to 19,817.52, 29,706.80 and 9,436.56 is: 14,145.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,817.52 : 29,706.80 = 9,436.56 : x
  2. Step 2: Convert to fraction form
    19,817.52/29,706.80 = 9,436.56/x
  3. Step 3: Cross multiply
    19,817.52x = 29,706.80 × 9,436.56
  4. Step 4: Simplify right side
    19,817.52x = 280,330,000.61
  5. Step 5: Solve for x
    x = 280,330,000.61/19,817.52
  6. Step 6: Final answer
    x = 14,145.56

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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.