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Finding the Fourth Proportional to 12,319.48, 18,449.88 and 6,380.50

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Solution

The fourth proportional to 12,319.48, 18,449.88 and 6,380.50 is: 9,555.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,319.48 : 18,449.88 = 6,380.50 : x
  2. Step 2: Convert to fraction form
    12,319.48/18,449.88 = 6,380.50/x
  3. Step 3: Cross multiply
    12,319.48x = 18,449.88 × 6,380.50
  4. Step 4: Simplify right side
    12,319.48x = 117,719,459.34
  5. Step 5: Solve for x
    x = 117,719,459.34/12,319.48
  6. Step 6: Final answer
    x = 9,555.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.