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Finding the Fourth Proportional to 12,319.43, 17,000.96 and 7,014.24

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Solution

The fourth proportional to 12,319.43, 17,000.96 and 7,014.24 is: 9,679.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,319.43 : 17,000.96 = 7,014.24 : x
  2. Step 2: Convert to fraction form
    12,319.43/17,000.96 = 7,014.24/x
  3. Step 3: Cross multiply
    12,319.43x = 17,000.96 × 7,014.24
  4. Step 4: Simplify right side
    12,319.43x = 119,248,778.60
  5. Step 5: Solve for x
    x = 119,248,778.60/12,319.43
  6. Step 6: Final answer
    x = 9,679.74

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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.