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Finding the Fourth Proportional to 26,357.42, 36,370.62 and 15,026

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Solution

The fourth proportional to 26,357.42, 36,370.62 and 15,026 is: 20,734.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,357.42 : 36,370.62 = 15,026 : x
  2. Step 2: Convert to fraction form
    26,357.42/36,370.62 = 15,026/x
  3. Step 3: Cross multiply
    26,357.42x = 36,370.62 × 15,026
  4. Step 4: Simplify right side
    26,357.42x = 546,504,936.12
  5. Step 5: Solve for x
    x = 546,504,936.12/26,357.42
  6. Step 6: Final answer
    x = 20,734.39

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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.