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Finding the Fourth Proportional to 12,263.85, 18,384.84 and 10,200.78

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Solution

The fourth proportional to 12,263.85, 18,384.84 and 10,200.78 is: 15,292.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,263.85 : 18,384.84 = 10,200.78 : x
  2. Step 2: Convert to fraction form
    12,263.85/18,384.84 = 10,200.78/x
  3. Step 3: Cross multiply
    12,263.85x = 18,384.84 × 10,200.78
  4. Step 4: Simplify right side
    12,263.85x = 187,539,708.18
  5. Step 5: Solve for x
    x = 187,539,708.18/12,263.85
  6. Step 6: Final answer
    x = 15,292.07

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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.