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Finding the Fourth Proportional to 21,442, 32,162.68 and 7,587.60

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Solution

The fourth proportional to 21,442, 32,162.68 and 7,587.60 is: 11,381.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,442 : 32,162.68 = 7,587.60 : x
  2. Step 2: Convert to fraction form
    21,442/32,162.68 = 7,587.60/x
  3. Step 3: Cross multiply
    21,442x = 32,162.68 × 7,587.60
  4. Step 4: Simplify right side
    21,442x = 244,037,550.77
  5. Step 5: Solve for x
    x = 244,037,550.77/21,442
  6. Step 6: Final answer
    x = 11,381.29

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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.