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Finding the Fourth Proportional to 26,602.98, 39,882.60 and 10,594.14

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Solution

The fourth proportional to 26,602.98, 39,882.60 and 10,594.14 is: 15,882.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,602.98 : 39,882.60 = 10,594.14 : x
  2. Step 2: Convert to fraction form
    26,602.98/39,882.60 = 10,594.14/x
  3. Step 3: Cross multiply
    26,602.98x = 39,882.60 × 10,594.14
  4. Step 4: Simplify right side
    26,602.98x = 422,521,847.96
  5. Step 5: Solve for x
    x = 422,521,847.96/26,602.98
  6. Step 6: Final answer
    x = 15,882.50

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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.