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Finding the Fourth Proportional to 26,407, 36,442.74 and 15,229

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Solution

The fourth proportional to 26,407, 36,442.74 and 15,229 is: 21,016.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,407 : 36,442.74 = 15,229 : x
  2. Step 2: Convert to fraction form
    26,407/36,442.74 = 15,229/x
  3. Step 3: Cross multiply
    26,407x = 36,442.74 × 15,229
  4. Step 4: Simplify right side
    26,407x = 554,986,487.46
  5. Step 5: Solve for x
    x = 554,986,487.46/26,407
  6. Step 6: Final answer
    x = 21,016.64

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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.