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Finding the Fourth Proportional to 12,532.68, 18,799.61 and 6,981.84

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Solution

The fourth proportional to 12,532.68, 18,799.61 and 6,981.84 is: 10,473.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,532.68 : 18,799.61 = 6,981.84 : x
  2. Step 2: Convert to fraction form
    12,532.68/18,799.61 = 6,981.84/x
  3. Step 3: Cross multiply
    12,532.68x = 18,799.61 × 6,981.84
  4. Step 4: Simplify right side
    12,532.68x = 131,255,834.17
  5. Step 5: Solve for x
    x = 131,255,834.17/12,532.68
  6. Step 6: Final answer
    x = 10,473.09

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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.