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Finding the Fourth Proportional to 26,097.66, 39,138.12 and 11,302.74

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Solution

The fourth proportional to 26,097.66, 39,138.12 and 11,302.74 is: 16,950.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,097.66 : 39,138.12 = 11,302.74 : x
  2. Step 2: Convert to fraction form
    26,097.66/39,138.12 = 11,302.74/x
  3. Step 3: Cross multiply
    26,097.66x = 39,138.12 × 11,302.74
  4. Step 4: Simplify right side
    26,097.66x = 442,367,994.45
  5. Step 5: Solve for x
    x = 442,367,994.45/26,097.66
  6. Step 6: Final answer
    x = 16,950.49

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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.