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Finding the Fourth Proportional to 22,801.26, 31,464.12 and 13,368

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Solution

The fourth proportional to 22,801.26, 31,464.12 and 13,368 is: 18,446.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,801.26 : 31,464.12 = 13,368 : x
  2. Step 2: Convert to fraction form
    22,801.26/31,464.12 = 13,368/x
  3. Step 3: Cross multiply
    22,801.26x = 31,464.12 × 13,368
  4. Step 4: Simplify right side
    22,801.26x = 420,612,356.16
  5. Step 5: Solve for x
    x = 420,612,356.16/22,801.26
  6. Step 6: Final answer
    x = 18,446.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.