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Finding the Fourth Proportional to 26,307.92, 36,315 and 16,238

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Solution

The fourth proportional to 26,307.92, 36,315 and 16,238 is: 22,414.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,307.92 : 36,315 = 16,238 : x
  2. Step 2: Convert to fraction form
    26,307.92/36,315 = 16,238/x
  3. Step 3: Cross multiply
    26,307.92x = 36,315 × 16,238
  4. Step 4: Simplify right side
    26,307.92x = 589,682,970
  5. Step 5: Solve for x
    x = 589,682,970/26,307.92
  6. Step 6: Final answer
    x = 22,414.66

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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.