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Finding the Fourth Proportional to 21,549.96, 32,323.92 and 7,513.14

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Solution

The fourth proportional to 21,549.96, 32,323.92 and 7,513.14 is: 11,269.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,549.96 : 32,323.92 = 7,513.14 : x
  2. Step 2: Convert to fraction form
    21,549.96/32,323.92 = 7,513.14/x
  3. Step 3: Cross multiply
    21,549.96x = 32,323.92 × 7,513.14
  4. Step 4: Simplify right side
    21,549.96x = 242,854,136.31
  5. Step 5: Solve for x
    x = 242,854,136.31/21,549.96
  6. Step 6: Final answer
    x = 11,269.35

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1.5x scale

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.