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Finding the Fourth Proportional to 16,160.24, 24,234.98 and 6,798.51

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Solution

The fourth proportional to 16,160.24, 24,234.98 and 6,798.51 is: 10,195.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,160.24 : 24,234.98 = 6,798.51 : x
  2. Step 2: Convert to fraction form
    16,160.24/24,234.98 = 6,798.51/x
  3. Step 3: Cross multiply
    16,160.24x = 24,234.98 × 6,798.51
  4. Step 4: Simplify right side
    16,160.24x = 164,761,719.89
  5. Step 5: Solve for x
    x = 164,761,719.89/16,160.24
  6. Step 6: Final answer
    x = 10,195.50

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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.