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Finding the Fourth Proportional to 26,509.68, 39,738.60 and 10,938.48

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Solution

The fourth proportional to 26,509.68, 39,738.60 and 10,938.48 is: 16,397.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,509.68 : 39,738.60 = 10,938.48 : x
  2. Step 2: Convert to fraction form
    26,509.68/39,738.60 = 10,938.48/x
  3. Step 3: Cross multiply
    26,509.68x = 39,738.60 × 10,938.48
  4. Step 4: Simplify right side
    26,509.68x = 434,679,881.33
  5. Step 5: Solve for x
    x = 434,679,881.33/26,509.68
  6. Step 6: Final answer
    x = 16,397.02

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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.