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Finding the Fourth Proportional to 15,152.20, 22,712.10 and 6,830.80

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Solution

The fourth proportional to 15,152.20, 22,712.10 and 6,830.80 is: 10,238.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,152.20 : 22,712.10 = 6,830.80 : x
  2. Step 2: Convert to fraction form
    15,152.20/22,712.10 = 6,830.80/x
  3. Step 3: Cross multiply
    15,152.20x = 22,712.10 × 6,830.80
  4. Step 4: Simplify right side
    15,152.20x = 155,141,812.68
  5. Step 5: Solve for x
    x = 155,141,812.68/15,152.20
  6. Step 6: Final answer
    x = 10,238.90

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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.