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Finding the Fourth Proportional to 12,319.74, 18,489.42 and 6,398.34

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Solution

The fourth proportional to 12,319.74, 18,489.42 and 6,398.34 is: 9,602.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,319.74 : 18,489.42 = 6,398.34 : x
  2. Step 2: Convert to fraction form
    12,319.74/18,489.42 = 6,398.34/x
  3. Step 3: Cross multiply
    12,319.74x = 18,489.42 × 6,398.34
  4. Step 4: Simplify right side
    12,319.74x = 118,301,595.56
  5. Step 5: Solve for x
    x = 118,301,595.56/12,319.74
  6. Step 6: Final answer
    x = 9,602.60

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