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Finding the Fourth Proportional to 26,109.64, 36,026.05 and 16,039.72

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Solution

The fourth proportional to 26,109.64, 36,026.05 and 16,039.72 is: 22,131.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,109.64 : 36,026.05 = 16,039.72 : x
  2. Step 2: Convert to fraction form
    26,109.64/36,026.05 = 16,039.72/x
  3. Step 3: Cross multiply
    26,109.64x = 36,026.05 × 16,039.72
  4. Step 4: Simplify right side
    26,109.64x = 577,847,494.38
  5. Step 5: Solve for x
    x = 577,847,494.38/26,109.64
  6. Step 6: Final answer
    x = 22,131.58

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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.