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Finding the Fourth Proportional to 22,518.36, 31,073.69 and 12,446.24

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Solution

The fourth proportional to 22,518.36, 31,073.69 and 12,446.24 is: 17,174.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,518.36 : 31,073.69 = 12,446.24 : x
  2. Step 2: Convert to fraction form
    22,518.36/31,073.69 = 12,446.24/x
  3. Step 3: Cross multiply
    22,518.36x = 31,073.69 × 12,446.24
  4. Step 4: Simplify right side
    22,518.36x = 386,750,479.17
  5. Step 5: Solve for x
    x = 386,750,479.17/22,518.36
  6. Step 6: Final answer
    x = 17,174.90

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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.