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Finding the Fourth Proportional to 23,105.40, 31,882.08 and 13,034.28

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Solution

The fourth proportional to 23,105.40, 31,882.08 and 13,034.28 is: 17,985.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,105.40 : 31,882.08 = 13,034.28 : x
  2. Step 2: Convert to fraction form
    23,105.40/31,882.08 = 13,034.28/x
  3. Step 3: Cross multiply
    23,105.40x = 31,882.08 × 13,034.28
  4. Step 4: Simplify right side
    23,105.40x = 415,559,957.70
  5. Step 5: Solve for x
    x = 415,559,957.70/23,105.40
  6. Step 6: Final answer
    x = 17,985.40

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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.