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Finding the Fourth Proportional to 17,598.82, 24,286.38 and 9,641.06

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Solution

The fourth proportional to 17,598.82, 24,286.38 and 9,641.06 is: 13,304.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,598.82 : 24,286.38 = 9,641.06 : x
  2. Step 2: Convert to fraction form
    17,598.82/24,286.38 = 9,641.06/x
  3. Step 3: Cross multiply
    17,598.82x = 24,286.38 × 9,641.06
  4. Step 4: Simplify right side
    17,598.82x = 234,146,446.76
  5. Step 5: Solve for x
    x = 234,146,446.76/17,598.82
  6. Step 6: Final answer
    x = 13,304.67

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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.