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Finding the Fourth Proportional to 21,780.80, 32,424.88 and 21,651.20

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Solution

The fourth proportional to 21,780.80, 32,424.88 and 21,651.20 is: 32,231.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,780.80 : 32,424.88 = 21,651.20 : x
  2. Step 2: Convert to fraction form
    21,780.80/32,424.88 = 21,651.20/x
  3. Step 3: Cross multiply
    21,780.80x = 32,424.88 × 21,651.20
  4. Step 4: Simplify right side
    21,780.80x = 702,037,561.86
  5. Step 5: Solve for x
    x = 702,037,561.86/21,780.80
  6. Step 6: Final answer
    x = 32,231.95

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.