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Finding the Fourth Proportional to 23,079, 31,849.16 and 13,524.53

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Solution

The fourth proportional to 23,079, 31,849.16 and 13,524.53 is: 18,663.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,079 : 31,849.16 = 13,524.53 : x
  2. Step 2: Convert to fraction form
    23,079/31,849.16 = 13,524.53/x
  3. Step 3: Cross multiply
    23,079x = 31,849.16 × 13,524.53
  4. Step 4: Simplify right side
    23,079x = 430,744,693.03
  5. Step 5: Solve for x
    x = 430,744,693.03/23,079
  6. Step 6: Final answer
    x = 18,663.92

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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.