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Finding the Fourth Proportional to 21,309.24, 31,963.68 and 5,514.24

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Solution

The fourth proportional to 21,309.24, 31,963.68 and 5,514.24 is: 8,271.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,309.24 : 31,963.68 = 5,514.24 : x
  2. Step 2: Convert to fraction form
    21,309.24/31,963.68 = 5,514.24/x
  3. Step 3: Cross multiply
    21,309.24x = 31,963.68 × 5,514.24
  4. Step 4: Simplify right side
    21,309.24x = 176,255,402.80
  5. Step 5: Solve for x
    x = 176,255,402.80/21,309.24
  6. Step 6: Final answer
    x = 8,271.31

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