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Finding the Fourth Proportional to 17,588.38, 24,271.96 and 9,631.10

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Solution

The fourth proportional to 17,588.38, 24,271.96 and 9,631.10 is: 13,290.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,588.38 : 24,271.96 = 9,631.10 : x
  2. Step 2: Convert to fraction form
    17,588.38/24,271.96 = 9,631.10/x
  3. Step 3: Cross multiply
    17,588.38x = 24,271.96 × 9,631.10
  4. Step 4: Simplify right side
    17,588.38x = 233,765,673.96
  5. Step 5: Solve for x
    x = 233,765,673.96/17,588.38
  6. Step 6: Final answer
    x = 13,290.92

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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.