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Finding the Fourth Proportional to 26,658, 36,788.04 and 14,882

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Solution

The fourth proportional to 26,658, 36,788.04 and 14,882 is: 20,537.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,658 : 36,788.04 = 14,882 : x
  2. Step 2: Convert to fraction form
    26,658/36,788.04 = 14,882/x
  3. Step 3: Cross multiply
    26,658x = 36,788.04 × 14,882
  4. Step 4: Simplify right side
    26,658x = 547,479,611.28
  5. Step 5: Solve for x
    x = 547,479,611.28/26,658
  6. Step 6: Final answer
    x = 20,537.16

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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.