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Finding the Fourth Proportional to 19,644.90, 29,474.64 and 9,120.12

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Solution

The fourth proportional to 19,644.90, 29,474.64 and 9,120.12 is: 13,683.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,644.90 : 29,474.64 = 9,120.12 : x
  2. Step 2: Convert to fraction form
    19,644.90/29,474.64 = 9,120.12/x
  3. Step 3: Cross multiply
    19,644.90x = 29,474.64 × 9,120.12
  4. Step 4: Simplify right side
    19,644.90x = 268,812,253.76
  5. Step 5: Solve for x
    x = 268,812,253.76/19,644.90
  6. Step 6: Final answer
    x = 13,683.56

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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.