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Finding the Fourth Proportional to 17,534.92, 26,295.90 and 7,141

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Solution

The fourth proportional to 17,534.92, 26,295.90 and 7,141 is: 10,708.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,534.92 : 26,295.90 = 7,141 : x
  2. Step 2: Convert to fraction form
    17,534.92/26,295.90 = 7,141/x
  3. Step 3: Cross multiply
    17,534.92x = 26,295.90 × 7,141
  4. Step 4: Simplify right side
    17,534.92x = 187,779,021.90
  5. Step 5: Solve for x
    x = 187,779,021.90/17,534.92
  6. Step 6: Final answer
    x = 10,708.86

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Why These Related Problems?

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