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Finding the Fourth Proportional to 13,031.61, 17,983.18 and 7,723.27

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Solution

The fourth proportional to 13,031.61, 17,983.18 and 7,723.27 is: 10,657.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,031.61 : 17,983.18 = 7,723.27 : x
  2. Step 2: Convert to fraction form
    13,031.61/17,983.18 = 7,723.27/x
  3. Step 3: Cross multiply
    13,031.61x = 17,983.18 × 7,723.27
  4. Step 4: Simplify right side
    13,031.61x = 138,888,915.98
  5. Step 5: Solve for x
    x = 138,888,915.98/13,031.61
  6. Step 6: Final answer
    x = 10,657.85

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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.