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Finding the Fourth Proportional to 38,649.40, 57,974.10 and 10,947.40

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Solution

The fourth proportional to 38,649.40, 57,974.10 and 10,947.40 is: 16,421.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,649.40 : 57,974.10 = 10,947.40 : x
  2. Step 2: Convert to fraction form
    38,649.40/57,974.10 = 10,947.40/x
  3. Step 3: Cross multiply
    38,649.40x = 57,974.10 × 10,947.40
  4. Step 4: Simplify right side
    38,649.40x = 634,665,662.34
  5. Step 5: Solve for x
    x = 634,665,662.34/38,649.40
  6. Step 6: Final answer
    x = 16,421.10

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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.