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Finding the Fourth Proportional to 12,789.18, 17,649.02 and 7,124

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Solution

The fourth proportional to 12,789.18, 17,649.02 and 7,124 is: 9,831.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,789.18 : 17,649.02 = 7,124 : x
  2. Step 2: Convert to fraction form
    12,789.18/17,649.02 = 7,124/x
  3. Step 3: Cross multiply
    12,789.18x = 17,649.02 × 7,124
  4. Step 4: Simplify right side
    12,789.18x = 125,731,618.48
  5. Step 5: Solve for x
    x = 125,731,618.48/12,789.18
  6. Step 6: Final answer
    x = 9,831.09

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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.