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Finding the Fourth Proportional to 16,052.32, 22,152.30 and 8,978.86

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Solution

The fourth proportional to 16,052.32, 22,152.30 and 8,978.86 is: 12,390.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,052.32 : 22,152.30 = 8,978.86 : x
  2. Step 2: Convert to fraction form
    16,052.32/22,152.30 = 8,978.86/x
  3. Step 3: Cross multiply
    16,052.32x = 22,152.30 × 8,978.86
  4. Step 4: Simplify right side
    16,052.32x = 198,902,400.38
  5. Step 5: Solve for x
    x = 198,902,400.38/16,052.32
  6. Step 6: Final answer
    x = 12,390.88

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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.