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Finding the Fourth Proportional to 26,438, 39,657 and 10,022

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Solution

The fourth proportional to 26,438, 39,657 and 10,022 is: 15,033

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,438 : 39,657 = 10,022 : x
  2. Step 2: Convert to fraction form
    26,438/39,657 = 10,022/x
  3. Step 3: Cross multiply
    26,438x = 39,657 × 10,022
  4. Step 4: Simplify right side
    26,438x = 397,442,454
  5. Step 5: Solve for x
    x = 397,442,454/26,438
  6. Step 6: Final answer
    x = 15,033

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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.