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Finding the Fourth Proportional to 26,038.38, 39,057.56 and 10,456

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Solution

The fourth proportional to 26,038.38, 39,057.56 and 10,456 is: 15,684.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,038.38 : 39,057.56 = 10,456 : x
  2. Step 2: Convert to fraction form
    26,038.38/39,057.56 = 10,456/x
  3. Step 3: Cross multiply
    26,038.38x = 39,057.56 × 10,456
  4. Step 4: Simplify right side
    26,038.38x = 408,385,847.36
  5. Step 5: Solve for x
    x = 408,385,847.36/26,038.38
  6. Step 6: Final answer
    x = 15,684.00

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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.