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Finding the Fourth Proportional to 12,869.50, 19,336.52 and 8,191.53

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Solution

The fourth proportional to 12,869.50, 19,336.52 and 8,191.53 is: 12,307.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,869.50 : 19,336.52 = 8,191.53 : x
  2. Step 2: Convert to fraction form
    12,869.50/19,336.52 = 8,191.53/x
  3. Step 3: Cross multiply
    12,869.50x = 19,336.52 × 8,191.53
  4. Step 4: Simplify right side
    12,869.50x = 158,395,683.68
  5. Step 5: Solve for x
    x = 158,395,683.68/12,869.50
  6. Step 6: Final answer
    x = 12,307.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.