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Finding the Fourth Proportional to 15,512.69, 21,407.40 and 8,439.10

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Solution

The fourth proportional to 15,512.69, 21,407.40 and 8,439.10 is: 11,645.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,512.69 : 21,407.40 = 8,439.10 : x
  2. Step 2: Convert to fraction form
    15,512.69/21,407.40 = 8,439.10/x
  3. Step 3: Cross multiply
    15,512.69x = 21,407.40 × 8,439.10
  4. Step 4: Simplify right side
    15,512.69x = 180,659,189.34
  5. Step 5: Solve for x
    x = 180,659,189.34/15,512.69
  6. Step 6: Final answer
    x = 11,645.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.