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Finding the Fourth Proportional to 16,048.32, 24,076.11 and 8,652.61

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Solution

The fourth proportional to 16,048.32, 24,076.11 and 8,652.61 is: 12,980.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,048.32 : 24,076.11 = 8,652.61 : x
  2. Step 2: Convert to fraction form
    16,048.32/24,076.11 = 8,652.61/x
  3. Step 3: Cross multiply
    16,048.32x = 24,076.11 × 8,652.61
  4. Step 4: Simplify right side
    16,048.32x = 208,321,252.69
  5. Step 5: Solve for x
    x = 208,321,252.69/16,048.32
  6. Step 6: Final answer
    x = 12,980.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.