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Finding the Fourth Proportional to 26,507.70, 39,759.48 and 11,717.10

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Solution

The fourth proportional to 26,507.70, 39,759.48 and 11,717.10 is: 17,574.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,507.70 : 39,759.48 = 11,717.10 : x
  2. Step 2: Convert to fraction form
    26,507.70/39,759.48 = 11,717.10/x
  3. Step 3: Cross multiply
    26,507.70x = 39,759.48 × 11,717.10
  4. Step 4: Simplify right side
    26,507.70x = 465,865,803.11
  5. Step 5: Solve for x
    x = 465,865,803.11/26,507.70
  6. Step 6: Final answer
    x = 17,574.74

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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.