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Finding the Fourth Proportional to 26,422, 36,462.63 and 15,813.70

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Solution

The fourth proportional to 26,422, 36,462.63 and 15,813.70 is: 21,823.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,422 : 36,462.63 = 15,813.70 : x
  2. Step 2: Convert to fraction form
    26,422/36,462.63 = 15,813.70/x
  3. Step 3: Cross multiply
    26,422x = 36,462.63 × 15,813.70
  4. Step 4: Simplify right side
    26,422x = 576,609,092.03
  5. Step 5: Solve for x
    x = 576,609,092.03/26,422
  6. Step 6: Final answer
    x = 21,823.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.