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Finding the Fourth Proportional to 17,052.12, 23,532.18 and 9,882.57

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Solution

The fourth proportional to 17,052.12, 23,532.18 and 9,882.57 is: 13,638.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,052.12 : 23,532.18 = 9,882.57 : x
  2. Step 2: Convert to fraction form
    17,052.12/23,532.18 = 9,882.57/x
  3. Step 3: Cross multiply
    17,052.12x = 23,532.18 × 9,882.57
  4. Step 4: Simplify right side
    17,052.12x = 232,558,536.78
  5. Step 5: Solve for x
    x = 232,558,536.78/17,052.12
  6. Step 6: Final answer
    x = 13,638.10

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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.