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Finding the Fourth Proportional to 23,192.54, 32,005.68 and 12,582.17

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Solution

The fourth proportional to 23,192.54, 32,005.68 and 12,582.17 is: 17,363.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,192.54 : 32,005.68 = 12,582.17 : x
  2. Step 2: Convert to fraction form
    23,192.54/32,005.68 = 12,582.17/x
  3. Step 3: Cross multiply
    23,192.54x = 32,005.68 × 12,582.17
  4. Step 4: Simplify right side
    23,192.54x = 402,700,906.73
  5. Step 5: Solve for x
    x = 402,700,906.73/23,192.54
  6. Step 6: Final answer
    x = 17,363.38

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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.