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Finding the Fourth Proportional to 26,177, 39,278.10 and 13,030.52

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Solution

The fourth proportional to 26,177, 39,278.10 and 13,030.52 is: 19,552.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,177 : 39,278.10 = 13,030.52 : x
  2. Step 2: Convert to fraction form
    26,177/39,278.10 = 13,030.52/x
  3. Step 3: Cross multiply
    26,177x = 39,278.10 × 13,030.52
  4. Step 4: Simplify right side
    26,177x = 511,814,067.61
  5. Step 5: Solve for x
    x = 511,814,067.61/26,177
  6. Step 6: Final answer
    x = 19,552.05

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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.