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Finding the Fourth Proportional to 12,378.60, 18,565.77 and 3,494.55

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Solution

The fourth proportional to 12,378.60, 18,565.77 and 3,494.55 is: 5,241.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,378.60 : 18,565.77 = 3,494.55 : x
  2. Step 2: Convert to fraction form
    12,378.60/18,565.77 = 3,494.55/x
  3. Step 3: Cross multiply
    12,378.60x = 18,565.77 × 3,494.55
  4. Step 4: Simplify right side
    12,378.60x = 64,879,011.55
  5. Step 5: Solve for x
    x = 64,879,011.55/12,378.60
  6. Step 6: Final answer
    x = 5,241.22

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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.