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Finding the Fourth Proportional to 12,580.32, 18,869.39 and 4,260.16

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Solution

The fourth proportional to 12,580.32, 18,869.39 and 4,260.16 is: 6,389.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,580.32 : 18,869.39 = 4,260.16 : x
  2. Step 2: Convert to fraction form
    12,580.32/18,869.39 = 4,260.16/x
  3. Step 3: Cross multiply
    12,580.32x = 18,869.39 × 4,260.16
  4. Step 4: Simplify right side
    12,580.32x = 80,386,620.50
  5. Step 5: Solve for x
    x = 80,386,620.50/12,580.32
  6. Step 6: Final answer
    x = 6,389.87

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Why These Related Problems?

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