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Finding the Fourth Proportional to 22,464.10, 31,000.42 and 12,393.17

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Solution

The fourth proportional to 22,464.10, 31,000.42 and 12,393.17 is: 17,102.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,464.10 : 31,000.42 = 12,393.17 : x
  2. Step 2: Convert to fraction form
    22,464.10/31,000.42 = 12,393.17/x
  3. Step 3: Cross multiply
    22,464.10x = 31,000.42 × 12,393.17
  4. Step 4: Simplify right side
    22,464.10x = 384,193,475.13
  5. Step 5: Solve for x
    x = 384,193,475.13/22,464.10
  6. Step 6: Final answer
    x = 17,102.55

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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.