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Finding the Fourth Proportional to 26,382.28, 36,392.34 and 16,429

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Solution

The fourth proportional to 26,382.28, 36,392.34 and 16,429 is: 22,662.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,382.28 : 36,392.34 = 16,429 : x
  2. Step 2: Convert to fraction form
    26,382.28/36,392.34 = 16,429/x
  3. Step 3: Cross multiply
    26,382.28x = 36,392.34 × 16,429
  4. Step 4: Simplify right side
    26,382.28x = 597,889,753.86
  5. Step 5: Solve for x
    x = 597,889,753.86/26,382.28
  6. Step 6: Final answer
    x = 22,662.55

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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.