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Finding the Fourth Proportional to 12,865.50, 19,330.52 and 8,187.53

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Solution

The fourth proportional to 12,865.50, 19,330.52 and 8,187.53 is: 12,301.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,865.50 : 19,330.52 = 8,187.53 : x
  2. Step 2: Convert to fraction form
    12,865.50/19,330.52 = 8,187.53/x
  3. Step 3: Cross multiply
    12,865.50x = 19,330.52 × 8,187.53
  4. Step 4: Simplify right side
    12,865.50x = 158,269,074.83
  5. Step 5: Solve for x
    x = 158,269,074.83/12,865.50
  6. Step 6: Final answer
    x = 12,301.82

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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.