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Finding the Fourth Proportional to 26,459.88, 36,514.56 and 14,523

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Solution

The fourth proportional to 26,459.88, 36,514.56 and 14,523 is: 20,041.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,459.88 : 36,514.56 = 14,523 : x
  2. Step 2: Convert to fraction form
    26,459.88/36,514.56 = 14,523/x
  3. Step 3: Cross multiply
    26,459.88x = 36,514.56 × 14,523
  4. Step 4: Simplify right side
    26,459.88x = 530,300,954.88
  5. Step 5: Solve for x
    x = 530,300,954.88/26,459.88
  6. Step 6: Final answer
    x = 20,041.70

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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.