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Finding the Fourth Proportional to 21,502.31, 32,257.52 and 9,655.80

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Solution

The fourth proportional to 21,502.31, 32,257.52 and 9,655.80 is: 14,485.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,502.31 : 32,257.52 = 9,655.80 : x
  2. Step 2: Convert to fraction form
    21,502.31/32,257.52 = 9,655.80/x
  3. Step 3: Cross multiply
    21,502.31x = 32,257.52 × 9,655.80
  4. Step 4: Simplify right side
    21,502.31x = 311,472,161.62
  5. Step 5: Solve for x
    x = 311,472,161.62/21,502.31
  6. Step 6: Final answer
    x = 14,485.52

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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.