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Finding the Fourth Proportional to 12,443.60, 18,668.17 and 4,546.10

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Solution

The fourth proportional to 12,443.60, 18,668.17 and 4,546.10 is: 6,820.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,443.60 : 18,668.17 = 4,546.10 : x
  2. Step 2: Convert to fraction form
    12,443.60/18,668.17 = 4,546.10/x
  3. Step 3: Cross multiply
    12,443.60x = 18,668.17 × 4,546.10
  4. Step 4: Simplify right side
    12,443.60x = 84,867,402.94
  5. Step 5: Solve for x
    x = 84,867,402.94/12,443.60
  6. Step 6: Final answer
    x = 6,820.16

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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.