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Finding the Fourth Proportional to 16,458.27, 22,712.38 and 8,904.61

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Solution

The fourth proportional to 16,458.27, 22,712.38 and 8,904.61 is: 12,288.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,458.27 : 22,712.38 = 8,904.61 : x
  2. Step 2: Convert to fraction form
    16,458.27/22,712.38 = 8,904.61/x
  3. Step 3: Cross multiply
    16,458.27x = 22,712.38 × 8,904.61
  4. Step 4: Simplify right side
    16,458.27x = 202,244,886.07
  5. Step 5: Solve for x
    x = 202,244,886.07/16,458.27
  6. Step 6: Final answer
    x = 12,288.34

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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.