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Finding the Fourth Proportional to 23,152.96, 31,952.80 and 13,082.56

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Solution

The fourth proportional to 23,152.96, 31,952.80 and 13,082.56 is: 18,054.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,152.96 : 31,952.80 = 13,082.56 : x
  2. Step 2: Convert to fraction form
    23,152.96/31,952.80 = 13,082.56/x
  3. Step 3: Cross multiply
    23,152.96x = 31,952.80 × 13,082.56
  4. Step 4: Simplify right side
    23,152.96x = 418,024,423.17
  5. Step 5: Solve for x
    x = 418,024,423.17/23,152.96
  6. Step 6: Final answer
    x = 18,054.90

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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.