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Finding the Fourth Proportional to 21,200.60, 31,778.76 and 7,155.79

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Solution

The fourth proportional to 21,200.60, 31,778.76 and 7,155.79 is: 10,726.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,200.60 : 31,778.76 = 7,155.79 : x
  2. Step 2: Convert to fraction form
    21,200.60/31,778.76 = 7,155.79/x
  3. Step 3: Cross multiply
    21,200.60x = 31,778.76 × 7,155.79
  4. Step 4: Simplify right side
    21,200.60x = 227,402,080.41
  5. Step 5: Solve for x
    x = 227,402,080.41/21,200.60
  6. Step 6: Final answer
    x = 10,726.21

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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.