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Finding the Fourth Proportional to 21,400.67, 32,071.84 and 10,306.55

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Solution

The fourth proportional to 21,400.67, 32,071.84 and 10,306.55 is: 15,445.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,400.67 : 32,071.84 = 10,306.55 : x
  2. Step 2: Convert to fraction form
    21,400.67/32,071.84 = 10,306.55/x
  3. Step 3: Cross multiply
    21,400.67x = 32,071.84 × 10,306.55
  4. Step 4: Simplify right side
    21,400.67x = 330,550,022.55
  5. Step 5: Solve for x
    x = 330,550,022.55/21,400.67
  6. Step 6: Final answer
    x = 15,445.78

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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.