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Finding the Fourth Proportional to 16,477.38, 22,740.42 and 9,404.88

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Solution

The fourth proportional to 16,477.38, 22,740.42 and 9,404.88 is: 12,979.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,477.38 : 22,740.42 = 9,404.88 : x
  2. Step 2: Convert to fraction form
    16,477.38/22,740.42 = 9,404.88/x
  3. Step 3: Cross multiply
    16,477.38x = 22,740.42 × 9,404.88
  4. Step 4: Simplify right side
    16,477.38x = 213,870,921.25
  5. Step 5: Solve for x
    x = 213,870,921.25/16,477.38
  6. Step 6: Final answer
    x = 12,979.67

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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.