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Finding the Fourth Proportional to 23,192.86, 32,006.01 and 12,582.26

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Solution

The fourth proportional to 23,192.86, 32,006.01 and 12,582.26 is: 17,363.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,192.86 : 32,006.01 = 12,582.26 : x
  2. Step 2: Convert to fraction form
    23,192.86/32,006.01 = 12,582.26/x
  3. Step 3: Cross multiply
    23,192.86x = 32,006.01 × 12,582.26
  4. Step 4: Simplify right side
    23,192.86x = 402,707,939.38
  5. Step 5: Solve for x
    x = 402,707,939.38/23,192.86
  6. Step 6: Final answer
    x = 17,363.44

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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.