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Finding the Fourth Proportional to 26,438.38, 36,486.02 and 14,502.14

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Solution

The fourth proportional to 26,438.38, 36,486.02 and 14,502.14 is: 20,013.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,438.38 : 36,486.02 = 14,502.14 : x
  2. Step 2: Convert to fraction form
    26,438.38/36,486.02 = 14,502.14/x
  3. Step 3: Cross multiply
    26,438.38x = 36,486.02 × 14,502.14
  4. Step 4: Simplify right side
    26,438.38x = 529,125,370.08
  5. Step 5: Solve for x
    x = 529,125,370.08/26,438.38
  6. Step 6: Final answer
    x = 20,013.53

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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.