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Finding the Fourth Proportional to 18,034.49, 24,887.13 and 10,076.78

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Solution

The fourth proportional to 18,034.49, 24,887.13 and 10,076.78 is: 13,905.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,034.49 : 24,887.13 = 10,076.78 : x
  2. Step 2: Convert to fraction form
    18,034.49/24,887.13 = 10,076.78/x
  3. Step 3: Cross multiply
    18,034.49x = 24,887.13 × 10,076.78
  4. Step 4: Simplify right side
    18,034.49x = 250,782,009.41
  5. Step 5: Solve for x
    x = 250,782,009.41/18,034.49
  6. Step 6: Final answer
    x = 13,905.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.