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Finding the Fourth Proportional to 21,710.52, 32,565.24 and 6,127.92

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Solution

The fourth proportional to 21,710.52, 32,565.24 and 6,127.92 is: 9,191.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,710.52 : 32,565.24 = 6,127.92 : x
  2. Step 2: Convert to fraction form
    21,710.52/32,565.24 = 6,127.92/x
  3. Step 3: Cross multiply
    21,710.52x = 32,565.24 × 6,127.92
  4. Step 4: Simplify right side
    21,710.52x = 199,557,185.50
  5. Step 5: Solve for x
    x = 199,557,185.50/21,710.52
  6. Step 6: Final answer
    x = 9,191.73

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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.