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Finding the Fourth Proportional to 23,102.88, 34,610.80 and 11,402.40

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Solution

The fourth proportional to 23,102.88, 34,610.80 and 11,402.40 is: 17,082.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,102.88 : 34,610.80 = 11,402.40 : x
  2. Step 2: Convert to fraction form
    23,102.88/34,610.80 = 11,402.40/x
  3. Step 3: Cross multiply
    23,102.88x = 34,610.80 × 11,402.40
  4. Step 4: Simplify right side
    23,102.88x = 394,646,185.92
  5. Step 5: Solve for x
    x = 394,646,185.92/23,102.88
  6. Step 6: Final answer
    x = 17,082.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.