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Finding the Fourth Proportional to 22,569, 31,145.26 and 13,143.88

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Solution

The fourth proportional to 22,569, 31,145.26 and 13,143.88 is: 18,138.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,569 : 31,145.26 = 13,143.88 : x
  2. Step 2: Convert to fraction form
    22,569/31,145.26 = 13,143.88/x
  3. Step 3: Cross multiply
    22,569x = 31,145.26 × 13,143.88
  4. Step 4: Simplify right side
    22,569x = 409,369,560.01
  5. Step 5: Solve for x
    x = 409,369,560.01/22,569
  6. Step 6: Final answer
    x = 18,138.58

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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.