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Finding the Fourth Proportional to 22,486.32, 31,029.80 and 12,414.50

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Solution

The fourth proportional to 22,486.32, 31,029.80 and 12,414.50 is: 17,131.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,486.32 : 31,029.80 = 12,414.50 : x
  2. Step 2: Convert to fraction form
    22,486.32/31,029.80 = 12,414.50/x
  3. Step 3: Cross multiply
    22,486.32x = 31,029.80 × 12,414.50
  4. Step 4: Simplify right side
    22,486.32x = 385,219,452.10
  5. Step 5: Solve for x
    x = 385,219,452.10/22,486.32
  6. Step 6: Final answer
    x = 17,131.28

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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.