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Finding the Fourth Proportional to 21,530.52, 32,301.95 and 9,044.12

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Solution

The fourth proportional to 21,530.52, 32,301.95 and 9,044.12 is: 13,568.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,530.52 : 32,301.95 = 9,044.12 : x
  2. Step 2: Convert to fraction form
    21,530.52/32,301.95 = 9,044.12/x
  3. Step 3: Cross multiply
    21,530.52x = 32,301.95 × 9,044.12
  4. Step 4: Simplify right side
    21,530.52x = 292,142,505.30
  5. Step 5: Solve for x
    x = 292,142,505.30/21,530.52
  6. Step 6: Final answer
    x = 13,568.76

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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.