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Finding the Fourth Proportional to 22,486.01, 31,029.86 and 12,414.23

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Solution

The fourth proportional to 22,486.01, 31,029.86 and 12,414.23 is: 17,131.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,486.01 : 31,029.86 = 12,414.23 : x
  2. Step 2: Convert to fraction form
    22,486.01/31,029.86 = 12,414.23/x
  3. Step 3: Cross multiply
    22,486.01x = 31,029.86 × 12,414.23
  4. Step 4: Simplify right side
    22,486.01x = 385,211,601.69
  5. Step 5: Solve for x
    x = 385,211,601.69/22,486.01
  6. Step 6: Final answer
    x = 17,131.17

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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.