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Finding the Fourth Proportional to 15,812.80, 23,712.80 and 5,419.20

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Solution

The fourth proportional to 15,812.80, 23,712.80 and 5,419.20 is: 8,126.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,812.80 : 23,712.80 = 5,419.20 : x
  2. Step 2: Convert to fraction form
    15,812.80/23,712.80 = 5,419.20/x
  3. Step 3: Cross multiply
    15,812.80x = 23,712.80 × 5,419.20
  4. Step 4: Simplify right side
    15,812.80x = 128,504,405.76
  5. Step 5: Solve for x
    x = 128,504,405.76/15,812.80
  6. Step 6: Final answer
    x = 8,126.61

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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.