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Finding the Fourth Proportional to 12,417.40, 18,626.64 and 6,180.40

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Solution

The fourth proportional to 12,417.40, 18,626.64 and 6,180.40 is: 9,270.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,417.40 : 18,626.64 = 6,180.40 : x
  2. Step 2: Convert to fraction form
    12,417.40/18,626.64 = 6,180.40/x
  3. Step 3: Cross multiply
    12,417.40x = 18,626.64 × 6,180.40
  4. Step 4: Simplify right side
    12,417.40x = 115,120,085.86
  5. Step 5: Solve for x
    x = 115,120,085.86/12,417.40
  6. Step 6: Final answer
    x = 9,270.87

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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.