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Finding the Fourth Proportional to 14,319.62, 19,760.10 and 8,031.50

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Solution

The fourth proportional to 14,319.62, 19,760.10 and 8,031.50 is: 11,082.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,319.62 : 19,760.10 = 8,031.50 : x
  2. Step 2: Convert to fraction form
    14,319.62/19,760.10 = 8,031.50/x
  3. Step 3: Cross multiply
    14,319.62x = 19,760.10 × 8,031.50
  4. Step 4: Simplify right side
    14,319.62x = 158,703,243.15
  5. Step 5: Solve for x
    x = 158,703,243.15/14,319.62
  6. Step 6: Final answer
    x = 11,082.92

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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.