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Finding the Fourth Proportional to 21,031.12, 31,542.72 and 7,880.68

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Solution

The fourth proportional to 21,031.12, 31,542.72 and 7,880.68 is: 11,819.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,031.12 : 31,542.72 = 7,880.68 : x
  2. Step 2: Convert to fraction form
    21,031.12/31,542.72 = 7,880.68/x
  3. Step 3: Cross multiply
    21,031.12x = 31,542.72 × 7,880.68
  4. Step 4: Simplify right side
    21,031.12x = 248,578,082.65
  5. Step 5: Solve for x
    x = 248,578,082.65/21,031.12
  6. Step 6: Final answer
    x = 11,819.54

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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.