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Finding the Fourth Proportional to 15,101.20, 22,657.20 and 6,338.80

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Solution

The fourth proportional to 15,101.20, 22,657.20 and 6,338.80 is: 9,510.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,101.20 : 22,657.20 = 6,338.80 : x
  2. Step 2: Convert to fraction form
    15,101.20/22,657.20 = 6,338.80/x
  3. Step 3: Cross multiply
    15,101.20x = 22,657.20 × 6,338.80
  4. Step 4: Simplify right side
    15,101.20x = 143,619,459.36
  5. Step 5: Solve for x
    x = 143,619,459.36/15,101.20
  6. Step 6: Final answer
    x = 9,510.47

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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.