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Finding the Fourth Proportional to 26,064.86, 39,097.26 and 10,478.84

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Solution

The fourth proportional to 26,064.86, 39,097.26 and 10,478.84 is: 15,718.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,064.86 : 39,097.26 = 10,478.84 : x
  2. Step 2: Convert to fraction form
    26,064.86/39,097.26 = 10,478.84/x
  3. Step 3: Cross multiply
    26,064.86x = 39,097.26 × 10,478.84
  4. Step 4: Simplify right side
    26,064.86x = 409,693,736.49
  5. Step 5: Solve for x
    x = 409,693,736.49/26,064.86
  6. Step 6: Final answer
    x = 15,718.24

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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.