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Finding the Fourth Proportional to 17,711.60, 24,442.76 and 10,160.06

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Solution

The fourth proportional to 17,711.60, 24,442.76 and 10,160.06 is: 14,021.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,711.60 : 24,442.76 = 10,160.06 : x
  2. Step 2: Convert to fraction form
    17,711.60/24,442.76 = 10,160.06/x
  3. Step 3: Cross multiply
    17,711.60x = 24,442.76 × 10,160.06
  4. Step 4: Simplify right side
    17,711.60x = 248,339,847.06
  5. Step 5: Solve for x
    x = 248,339,847.06/17,711.60
  6. Step 6: Final answer
    x = 14,021.31

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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.