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Finding the Fourth Proportional to 28,713.84, 39,625.68 and 16,138.80

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Solution

The fourth proportional to 28,713.84, 39,625.68 and 16,138.80 is: 22,271.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,713.84 : 39,625.68 = 16,138.80 : x
  2. Step 2: Convert to fraction form
    28,713.84/39,625.68 = 16,138.80/x
  3. Step 3: Cross multiply
    28,713.84x = 39,625.68 × 16,138.80
  4. Step 4: Simplify right side
    28,713.84x = 639,510,924.38
  5. Step 5: Solve for x
    x = 639,510,924.38/28,713.84
  6. Step 6: Final answer
    x = 22,271.87

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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.