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Finding the Fourth Proportional to 21,691.44, 32,510.50 and 12,339.24

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Solution

The fourth proportional to 21,691.44, 32,510.50 and 12,339.24 is: 18,493.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,691.44 : 32,510.50 = 12,339.24 : x
  2. Step 2: Convert to fraction form
    21,691.44/32,510.50 = 12,339.24/x
  3. Step 3: Cross multiply
    21,691.44x = 32,510.50 × 12,339.24
  4. Step 4: Simplify right side
    21,691.44x = 401,154,862.02
  5. Step 5: Solve for x
    x = 401,154,862.02/21,691.44
  6. Step 6: Final answer
    x = 18,493.69

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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.