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Finding the Fourth Proportional to 21,726.77, 32,565.31 and 9,228.47

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Solution

The fourth proportional to 21,726.77, 32,565.31 and 9,228.47 is: 13,832.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,726.77 : 32,565.31 = 9,228.47 : x
  2. Step 2: Convert to fraction form
    21,726.77/32,565.31 = 9,228.47/x
  3. Step 3: Cross multiply
    21,726.77x = 32,565.31 × 9,228.47
  4. Step 4: Simplify right side
    21,726.77x = 300,527,800.48
  5. Step 5: Solve for x
    x = 300,527,800.48/21,726.77
  6. Step 6: Final answer
    x = 13,832.15

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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.