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Finding the Fourth Proportional to 22,486.18, 31,030.31 and 12,414.44

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Solution

The fourth proportional to 22,486.18, 31,030.31 and 12,414.44 is: 17,131.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,486.18 : 31,030.31 = 12,414.44 : x
  2. Step 2: Convert to fraction form
    22,486.18/31,030.31 = 12,414.44/x
  3. Step 3: Cross multiply
    22,486.18x = 31,030.31 × 12,414.44
  4. Step 4: Simplify right side
    22,486.18x = 385,223,913.92
  5. Step 5: Solve for x
    x = 385,223,913.92/22,486.18
  6. Step 6: Final answer
    x = 17,131.58

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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.