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Finding the Fourth Proportional to 26,578, 39,870.78 and 9,043.12

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Solution

The fourth proportional to 26,578, 39,870.78 and 9,043.12 is: 13,565.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,578 : 39,870.78 = 9,043.12 : x
  2. Step 2: Convert to fraction form
    26,578/39,870.78 = 9,043.12/x
  3. Step 3: Cross multiply
    26,578x = 39,870.78 × 9,043.12
  4. Step 4: Simplify right side
    26,578x = 360,556,248.03
  5. Step 5: Solve for x
    x = 360,556,248.03/26,578
  6. Step 6: Final answer
    x = 13,565.97

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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.