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Finding the Fourth Proportional to 15,470.16, 23,205.22 and 5,609.43

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Solution

The fourth proportional to 15,470.16, 23,205.22 and 5,609.43 is: 8,414.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,470.16 : 23,205.22 = 5,609.43 : x
  2. Step 2: Convert to fraction form
    15,470.16/23,205.22 = 5,609.43/x
  3. Step 3: Cross multiply
    15,470.16x = 23,205.22 × 5,609.43
  4. Step 4: Simplify right side
    15,470.16x = 130,168,057.22
  5. Step 5: Solve for x
    x = 130,168,057.22/15,470.16
  6. Step 6: Final answer
    x = 8,414.14

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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.