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Finding the Fourth Proportional to 26,065.92, 39,074.52 and 15,538.68

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Solution

The fourth proportional to 26,065.92, 39,074.52 and 15,538.68 is: 23,293.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,065.92 : 39,074.52 = 15,538.68 : x
  2. Step 2: Convert to fraction form
    26,065.92/39,074.52 = 15,538.68/x
  3. Step 3: Cross multiply
    26,065.92x = 39,074.52 × 15,538.68
  4. Step 4: Simplify right side
    26,065.92x = 607,166,462.43
  5. Step 5: Solve for x
    x = 607,166,462.43/26,065.92
  6. Step 6: Final answer
    x = 23,293.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.