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Finding the Fourth Proportional to 22,486.29, 31,030.91 and 12,414.75

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Solution

The fourth proportional to 22,486.29, 31,030.91 and 12,414.75 is: 17,132.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,486.29 : 31,030.91 = 12,414.75 : x
  2. Step 2: Convert to fraction form
    22,486.29/31,030.91 = 12,414.75/x
  3. Step 3: Cross multiply
    22,486.29x = 31,030.91 × 12,414.75
  4. Step 4: Simplify right side
    22,486.29x = 385,240,927.85
  5. Step 5: Solve for x
    x = 385,240,927.85/22,486.29
  6. Step 6: Final answer
    x = 17,132.26

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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.