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Finding the Fourth Proportional to 22,564.62, 31,134.24 and 13,128.12

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Solution

The fourth proportional to 22,564.62, 31,134.24 and 13,128.12 is: 18,113.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,564.62 : 31,134.24 = 13,128.12 : x
  2. Step 2: Convert to fraction form
    22,564.62/31,134.24 = 13,128.12/x
  3. Step 3: Cross multiply
    22,564.62x = 31,134.24 × 13,128.12
  4. Step 4: Simplify right side
    22,564.62x = 408,734,038.83
  5. Step 5: Solve for x
    x = 408,734,038.83/22,564.62
  6. Step 6: Final answer
    x = 18,113.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.