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Finding the Fourth Proportional to 21,107.24, 31,646.09 and 9,255.32

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Solution

The fourth proportional to 21,107.24, 31,646.09 and 9,255.32 is: 13,876.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,107.24 : 31,646.09 = 9,255.32 : x
  2. Step 2: Convert to fraction form
    21,107.24/31,646.09 = 9,255.32/x
  3. Step 3: Cross multiply
    21,107.24x = 31,646.09 × 9,255.32
  4. Step 4: Simplify right side
    21,107.24x = 292,894,554.61
  5. Step 5: Solve for x
    x = 292,894,554.61/21,107.24
  6. Step 6: Final answer
    x = 13,876.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.