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Finding the Fourth Proportional to 12,377.64, 18,568.06 and 4,585.64

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Solution

The fourth proportional to 12,377.64, 18,568.06 and 4,585.64 is: 6,879.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,377.64 : 18,568.06 = 4,585.64 : x
  2. Step 2: Convert to fraction form
    12,377.64/18,568.06 = 4,585.64/x
  3. Step 3: Cross multiply
    12,377.64x = 18,568.06 × 4,585.64
  4. Step 4: Simplify right side
    12,377.64x = 85,146,438.66
  5. Step 5: Solve for x
    x = 85,146,438.66/12,377.64
  6. Step 6: Final answer
    x = 6,879.05

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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.