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Finding the Fourth Proportional to 22,989.57, 34,478.13 and 6,345.60

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Solution

The fourth proportional to 22,989.57, 34,478.13 and 6,345.60 is: 9,516.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,989.57 : 34,478.13 = 6,345.60 : x
  2. Step 2: Convert to fraction form
    22,989.57/34,478.13 = 6,345.60/x
  3. Step 3: Cross multiply
    22,989.57x = 34,478.13 × 6,345.60
  4. Step 4: Simplify right side
    22,989.57x = 218,784,421.73
  5. Step 5: Solve for x
    x = 218,784,421.73/22,989.57
  6. Step 6: Final answer
    x = 9,516.68

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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.