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Finding the Fourth Proportional to 12,578.10, 17,350.02 and 9,046.02

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Solution

The fourth proportional to 12,578.10, 17,350.02 and 9,046.02 is: 12,477.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,578.10 : 17,350.02 = 9,046.02 : x
  2. Step 2: Convert to fraction form
    12,578.10/17,350.02 = 9,046.02/x
  3. Step 3: Cross multiply
    12,578.10x = 17,350.02 × 9,046.02
  4. Step 4: Simplify right side
    12,578.10x = 156,948,627.92
  5. Step 5: Solve for x
    x = 156,948,627.92/12,578.10
  6. Step 6: Final answer
    x = 12,477.93

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Why These Related Problems?

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