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Finding the Fourth Proportional to 12,319.86, 18,489.51 and 5,742.66

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Solution

The fourth proportional to 12,319.86, 18,489.51 and 5,742.66 is: 8,618.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,319.86 : 18,489.51 = 5,742.66 : x
  2. Step 2: Convert to fraction form
    12,319.86/18,489.51 = 5,742.66/x
  3. Step 3: Cross multiply
    12,319.86x = 18,489.51 × 5,742.66
  4. Step 4: Simplify right side
    12,319.86x = 106,178,969.50
  5. Step 5: Solve for x
    x = 106,178,969.50/12,319.86
  6. Step 6: Final answer
    x = 8,618.52

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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.