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Finding the Fourth Proportional to 20,891.52, 31,347.26 and 9,203.20

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Solution

The fourth proportional to 20,891.52, 31,347.26 and 9,203.20 is: 13,809.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,891.52 : 31,347.26 = 9,203.20 : x
  2. Step 2: Convert to fraction form
    20,891.52/31,347.26 = 9,203.20/x
  3. Step 3: Cross multiply
    20,891.52x = 31,347.26 × 9,203.20
  4. Step 4: Simplify right side
    20,891.52x = 288,495,103.23
  5. Step 5: Solve for x
    x = 288,495,103.23/20,891.52
  6. Step 6: Final answer
    x = 13,809.20

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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.