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Finding the Fourth Proportional to 12,789.16, 17,649.85 and 7,200.52

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Solution

The fourth proportional to 12,789.16, 17,649.85 and 7,200.52 is: 9,937.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,789.16 : 17,649.85 = 7,200.52 : x
  2. Step 2: Convert to fraction form
    12,789.16/17,649.85 = 7,200.52/x
  3. Step 3: Cross multiply
    12,789.16x = 17,649.85 × 7,200.52
  4. Step 4: Simplify right side
    12,789.16x = 127,088,035.80
  5. Step 5: Solve for x
    x = 127,088,035.80/12,789.16
  6. Step 6: Final answer
    x = 9,937.17

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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.