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Finding the Fourth Proportional to 12,512.40, 18,777.84 and 10,076.61

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Solution

The fourth proportional to 12,512.40, 18,777.84 and 10,076.61 is: 15,122.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,512.40 : 18,777.84 = 10,076.61 : x
  2. Step 2: Convert to fraction form
    12,512.40/18,777.84 = 10,076.61/x
  3. Step 3: Cross multiply
    12,512.40x = 18,777.84 × 10,076.61
  4. Step 4: Simplify right side
    12,512.40x = 189,216,970.32
  5. Step 5: Solve for x
    x = 189,216,970.32/12,512.40
  6. Step 6: Final answer
    x = 15,122.36

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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.