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Finding the Fourth Proportional to 12,350.71, 17,038.11 and 8,992

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Solution

The fourth proportional to 12,350.71, 17,038.11 and 8,992 is: 12,404.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,350.71 : 17,038.11 = 8,992 : x
  2. Step 2: Convert to fraction form
    12,350.71/17,038.11 = 8,992/x
  3. Step 3: Cross multiply
    12,350.71x = 17,038.11 × 8,992
  4. Step 4: Simplify right side
    12,350.71x = 153,206,685.12
  5. Step 5: Solve for x
    x = 153,206,685.12/12,350.71
  6. Step 6: Final answer
    x = 12,404.69

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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.