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Finding the Fourth Proportional to 21,012.62, 31,523.41 and 10,488.30

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Solution

The fourth proportional to 21,012.62, 31,523.41 and 10,488.30 is: 15,734.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,012.62 : 31,523.41 = 10,488.30 : x
  2. Step 2: Convert to fraction form
    21,012.62/31,523.41 = 10,488.30/x
  3. Step 3: Cross multiply
    21,012.62x = 31,523.41 × 10,488.30
  4. Step 4: Simplify right side
    21,012.62x = 330,626,981.10
  5. Step 5: Solve for x
    x = 330,626,981.10/21,012.62
  6. Step 6: Final answer
    x = 15,734.69

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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.