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Finding the Fourth Proportional to 26,478.58, 36,540.64 and 15,147.38

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Solution

The fourth proportional to 26,478.58, 36,540.64 and 15,147.38 is: 20,903.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,478.58 : 36,540.64 = 15,147.38 : x
  2. Step 2: Convert to fraction form
    26,478.58/36,540.64 = 15,147.38/x
  3. Step 3: Cross multiply
    26,478.58x = 36,540.64 × 15,147.38
  4. Step 4: Simplify right side
    26,478.58x = 553,494,959.52
  5. Step 5: Solve for x
    x = 553,494,959.52/26,478.58
  6. Step 6: Final answer
    x = 20,903.50

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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.