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Finding the Fourth Proportional to 23,124.53, 31,913.29 and 13,049.30

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Solution

The fourth proportional to 23,124.53, 31,913.29 and 13,049.30 is: 18,008.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,124.53 : 31,913.29 = 13,049.30 : x
  2. Step 2: Convert to fraction form
    23,124.53/31,913.29 = 13,049.30/x
  3. Step 3: Cross multiply
    23,124.53x = 31,913.29 × 13,049.30
  4. Step 4: Simplify right side
    23,124.53x = 416,446,011.78
  5. Step 5: Solve for x
    x = 416,446,011.78/23,124.53
  6. Step 6: Final answer
    x = 18,008.84

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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.