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Finding the Fourth Proportional to 23,154.15, 31,952.42 and 13,082.41

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Solution

The fourth proportional to 23,154.15, 31,952.42 and 13,082.41 is: 18,053.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,154.15 : 31,952.42 = 13,082.41 : x
  2. Step 2: Convert to fraction form
    23,154.15/31,952.42 = 13,082.41/x
  3. Step 3: Cross multiply
    23,154.15x = 31,952.42 × 13,082.41
  4. Step 4: Simplify right side
    23,154.15x = 418,014,499.17
  5. Step 5: Solve for x
    x = 418,014,499.17/23,154.15
  6. Step 6: Final answer
    x = 18,053.55

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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.