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Finding the Fourth Proportional to 21,508.69, 32,257.40 and 9,655.83

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Solution

The fourth proportional to 21,508.69, 32,257.40 and 9,655.83 is: 14,481.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,508.69 : 32,257.40 = 9,655.83 : x
  2. Step 2: Convert to fraction form
    21,508.69/32,257.40 = 9,655.83/x
  3. Step 3: Cross multiply
    21,508.69x = 32,257.40 × 9,655.83
  4. Step 4: Simplify right side
    21,508.69x = 311,472,019.88
  5. Step 5: Solve for x
    x = 311,472,019.88/21,508.69
  6. Step 6: Final answer
    x = 14,481.22

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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.