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Finding the Fourth Proportional to 21,043.26, 31,545.18 and 10,506.78

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Solution

The fourth proportional to 21,043.26, 31,545.18 and 10,506.78 is: 15,750.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,043.26 : 31,545.18 = 10,506.78 : x
  2. Step 2: Convert to fraction form
    21,043.26/31,545.18 = 10,506.78/x
  3. Step 3: Cross multiply
    21,043.26x = 31,545.18 × 10,506.78
  4. Step 4: Simplify right side
    21,043.26x = 331,438,266.32
  5. Step 5: Solve for x
    x = 331,438,266.32/21,043.26
  6. Step 6: Final answer
    x = 15,750.33

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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.