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Finding the Fourth Proportional to 27,411.76, 37,828.92 and 16,807.24

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Solution

The fourth proportional to 27,411.76, 37,828.92 and 16,807.24 is: 23,194.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,411.76 : 37,828.92 = 16,807.24 : x
  2. Step 2: Convert to fraction form
    27,411.76/37,828.92 = 16,807.24/x
  3. Step 3: Cross multiply
    27,411.76x = 37,828.92 × 16,807.24
  4. Step 4: Simplify right side
    27,411.76x = 635,799,737.38
  5. Step 5: Solve for x
    x = 635,799,737.38/27,411.76
  6. Step 6: Final answer
    x = 23,194.42

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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.