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Finding the Fourth Proportional to 17,124.40, 25,691.40 and 8,359.60

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Solution

The fourth proportional to 17,124.40, 25,691.40 and 8,359.60 is: 12,541.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,124.40 : 25,691.40 = 8,359.60 : x
  2. Step 2: Convert to fraction form
    17,124.40/25,691.40 = 8,359.60/x
  3. Step 3: Cross multiply
    17,124.40x = 25,691.40 × 8,359.60
  4. Step 4: Simplify right side
    17,124.40x = 214,769,827.44
  5. Step 5: Solve for x
    x = 214,769,827.44/17,124.40
  6. Step 6: Final answer
    x = 12,541.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.