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Finding the Fourth Proportional to 22,582.92, 31,165.59 and 13,630.30

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Solution

The fourth proportional to 22,582.92, 31,165.59 and 13,630.30 is: 18,810.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,582.92 : 31,165.59 = 13,630.30 : x
  2. Step 2: Convert to fraction form
    22,582.92/31,165.59 = 13,630.30/x
  3. Step 3: Cross multiply
    22,582.92x = 31,165.59 × 13,630.30
  4. Step 4: Simplify right side
    22,582.92x = 424,796,341.38
  5. Step 5: Solve for x
    x = 424,796,341.38/22,582.92
  6. Step 6: Final answer
    x = 18,810.51

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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.