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Finding the Fourth Proportional to 12,866.50, 19,332.02 and 8,188.53

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Solution

The fourth proportional to 12,866.50, 19,332.02 and 8,188.53 is: 12,303.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,866.50 : 19,332.02 = 8,188.53 : x
  2. Step 2: Convert to fraction form
    12,866.50/19,332.02 = 8,188.53/x
  3. Step 3: Cross multiply
    12,866.50x = 19,332.02 × 8,188.53
  4. Step 4: Simplify right side
    12,866.50x = 158,300,825.73
  5. Step 5: Solve for x
    x = 158,300,825.73/12,866.50
  6. Step 6: Final answer
    x = 12,303.33

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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.