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Finding the Fourth Proportional to 12,209.76, 18,314.64 and 4,416.75

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Solution

The fourth proportional to 12,209.76, 18,314.64 and 4,416.75 is: 6,625.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,209.76 : 18,314.64 = 4,416.75 : x
  2. Step 2: Convert to fraction form
    12,209.76/18,314.64 = 4,416.75/x
  3. Step 3: Cross multiply
    12,209.76x = 18,314.64 × 4,416.75
  4. Step 4: Simplify right side
    12,209.76x = 80,891,186.22
  5. Step 5: Solve for x
    x = 80,891,186.22/12,209.76
  6. Step 6: Final answer
    x = 6,625.13

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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.