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Finding the Fourth Proportional to 19,737.75, 29,610 and 8,644.17

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Solution

The fourth proportional to 19,737.75, 29,610 and 8,644.17 is: 12,967.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,737.75 : 29,610 = 8,644.17 : x
  2. Step 2: Convert to fraction form
    19,737.75/29,610 = 8,644.17/x
  3. Step 3: Cross multiply
    19,737.75x = 29,610 × 8,644.17
  4. Step 4: Simplify right side
    19,737.75x = 255,953,873.70
  5. Step 5: Solve for x
    x = 255,953,873.70/19,737.75
  6. Step 6: Final answer
    x = 12,967.73

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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.