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Finding the Fourth Proportional to 15,964.64, 22,031.23 and 9,251.56

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Solution

The fourth proportional to 15,964.64, 22,031.23 and 9,251.56 is: 12,767.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,964.64 : 22,031.23 = 9,251.56 : x
  2. Step 2: Convert to fraction form
    15,964.64/22,031.23 = 9,251.56/x
  3. Step 3: Cross multiply
    15,964.64x = 22,031.23 × 9,251.56
  4. Step 4: Simplify right side
    15,964.64x = 203,823,136.06
  5. Step 5: Solve for x
    x = 203,823,136.06/15,964.64
  6. Step 6: Final answer
    x = 12,767.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.