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Finding the Fourth Proportional to 26,767.69, 40,154.27 and 9,237.47

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Solution

The fourth proportional to 26,767.69, 40,154.27 and 9,237.47 is: 13,857.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,767.69 : 40,154.27 = 9,237.47 : x
  2. Step 2: Convert to fraction form
    26,767.69/40,154.27 = 9,237.47/x
  3. Step 3: Cross multiply
    26,767.69x = 40,154.27 × 9,237.47
  4. Step 4: Simplify right side
    26,767.69x = 370,923,864.50
  5. Step 5: Solve for x
    x = 370,923,864.50/26,767.69
  6. Step 6: Final answer
    x = 13,857.15

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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.