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Finding the Fourth Proportional to 12,378.64, 18,565.65 and 3,491.78

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Solution

The fourth proportional to 12,378.64, 18,565.65 and 3,491.78 is: 5,237.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,378.64 : 18,565.65 = 3,491.78 : x
  2. Step 2: Convert to fraction form
    12,378.64/18,565.65 = 3,491.78/x
  3. Step 3: Cross multiply
    12,378.64x = 18,565.65 × 3,491.78
  4. Step 4: Simplify right side
    12,378.64x = 64,827,165.36
  5. Step 5: Solve for x
    x = 64,827,165.36/12,378.64
  6. Step 6: Final answer
    x = 5,237.02

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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.