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Finding the Fourth Proportional to 12,588.68, 18,876.84 and 5,196.80

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Solution

The fourth proportional to 12,588.68, 18,876.84 and 5,196.80 is: 7,792.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,588.68 : 18,876.84 = 5,196.80 : x
  2. Step 2: Convert to fraction form
    12,588.68/18,876.84 = 5,196.80/x
  3. Step 3: Cross multiply
    12,588.68x = 18,876.84 × 5,196.80
  4. Step 4: Simplify right side
    12,588.68x = 98,099,162.11
  5. Step 5: Solve for x
    x = 98,099,162.11/12,588.68
  6. Step 6: Final answer
    x = 7,792.65

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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.