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Finding the Fourth Proportional to 17,647.76, 24,353.93 and 9,581.41

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Solution

The fourth proportional to 17,647.76, 24,353.93 and 9,581.41 is: 13,222.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,647.76 : 24,353.93 = 9,581.41 : x
  2. Step 2: Convert to fraction form
    17,647.76/24,353.93 = 9,581.41/x
  3. Step 3: Cross multiply
    17,647.76x = 24,353.93 × 9,581.41
  4. Step 4: Simplify right side
    17,647.76x = 233,344,879.65
  5. Step 5: Solve for x
    x = 233,344,879.65/17,647.76
  6. Step 6: Final answer
    x = 13,222.35

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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.