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Finding the Fourth Proportional to 17,403, 24,016.14 and 9,951

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Solution

The fourth proportional to 17,403, 24,016.14 and 9,951 is: 13,732.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,403 : 24,016.14 = 9,951 : x
  2. Step 2: Convert to fraction form
    17,403/24,016.14 = 9,951/x
  3. Step 3: Cross multiply
    17,403x = 24,016.14 × 9,951
  4. Step 4: Simplify right side
    17,403x = 238,984,609.14
  5. Step 5: Solve for x
    x = 238,984,609.14/17,403
  6. Step 6: Final answer
    x = 13,732.38

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1.5x scale

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.