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Finding the Fourth Proportional to 22,649.63, 31,257.02 and 12,713.63

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Solution

The fourth proportional to 22,649.63, 31,257.02 and 12,713.63 is: 17,545.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,649.63 : 31,257.02 = 12,713.63 : x
  2. Step 2: Convert to fraction form
    22,649.63/31,257.02 = 12,713.63/x
  3. Step 3: Cross multiply
    22,649.63x = 31,257.02 × 12,713.63
  4. Step 4: Simplify right side
    22,649.63x = 397,390,062.68
  5. Step 5: Solve for x
    x = 397,390,062.68/22,649.63
  6. Step 6: Final answer
    x = 17,545.11

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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.