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Finding the Fourth Proportional to 16,582.78, 22,876.08 and 12,320.26

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Solution

The fourth proportional to 16,582.78, 22,876.08 and 12,320.26 is: 16,995.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,582.78 : 22,876.08 = 12,320.26 : x
  2. Step 2: Convert to fraction form
    16,582.78/22,876.08 = 12,320.26/x
  3. Step 3: Cross multiply
    16,582.78x = 22,876.08 × 12,320.26
  4. Step 4: Simplify right side
    16,582.78x = 281,839,253.38
  5. Step 5: Solve for x
    x = 281,839,253.38/16,582.78
  6. Step 6: Final answer
    x = 16,995.90

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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.