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Finding the Fourth Proportional to 12,307.68, 18,451.44 and 7,117.92

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Solution

The fourth proportional to 12,307.68, 18,451.44 and 7,117.92 is: 10,671.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,307.68 : 18,451.44 = 7,117.92 : x
  2. Step 2: Convert to fraction form
    12,307.68/18,451.44 = 7,117.92/x
  3. Step 3: Cross multiply
    12,307.68x = 18,451.44 × 7,117.92
  4. Step 4: Simplify right side
    12,307.68x = 131,335,873.80
  5. Step 5: Solve for x
    x = 131,335,873.80/12,307.68
  6. Step 6: Final answer
    x = 10,671.05

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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.