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Finding the Fourth Proportional to 16,005.18, 24,009.18 and 5,474.79

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Solution

The fourth proportional to 16,005.18, 24,009.18 and 5,474.79 is: 8,212.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,005.18 : 24,009.18 = 5,474.79 : x
  2. Step 2: Convert to fraction form
    16,005.18/24,009.18 = 5,474.79/x
  3. Step 3: Cross multiply
    16,005.18x = 24,009.18 × 5,474.79
  4. Step 4: Simplify right side
    16,005.18x = 131,445,218.57
  5. Step 5: Solve for x
    x = 131,445,218.57/16,005.18
  6. Step 6: Final answer
    x = 8,212.67

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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.