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Finding the Fourth Proportional to 16,409, 24,613.50 and 7,042.97

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Solution

The fourth proportional to 16,409, 24,613.50 and 7,042.97 is: 10,564.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,409 : 24,613.50 = 7,042.97 : x
  2. Step 2: Convert to fraction form
    16,409/24,613.50 = 7,042.97/x
  3. Step 3: Cross multiply
    16,409x = 24,613.50 × 7,042.97
  4. Step 4: Simplify right side
    16,409x = 173,352,142.10
  5. Step 5: Solve for x
    x = 173,352,142.10/16,409
  6. Step 6: Final answer
    x = 10,564.46

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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.