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Finding the Fourth Proportional to 21,613.48, 32,430.24 and 9,136.41

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Solution

The fourth proportional to 21,613.48, 32,430.24 and 9,136.41 is: 13,708.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,613.48 : 32,430.24 = 9,136.41 : x
  2. Step 2: Convert to fraction form
    21,613.48/32,430.24 = 9,136.41/x
  3. Step 3: Cross multiply
    21,613.48x = 32,430.24 × 9,136.41
  4. Step 4: Simplify right side
    21,613.48x = 296,296,029.85
  5. Step 5: Solve for x
    x = 296,296,029.85/21,613.48
  6. Step 6: Final answer
    x = 13,708.85

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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.