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Finding the Fourth Proportional to 17,587.30, 24,269.73 and 9,629.38

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Solution

The fourth proportional to 17,587.30, 24,269.73 and 9,629.38 is: 13,288.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,587.30 : 24,269.73 = 9,629.38 : x
  2. Step 2: Convert to fraction form
    17,587.30/24,269.73 = 9,629.38/x
  3. Step 3: Cross multiply
    17,587.30x = 24,269.73 × 9,629.38
  4. Step 4: Simplify right side
    17,587.30x = 233,702,452.67
  5. Step 5: Solve for x
    x = 233,702,452.67/17,587.30
  6. Step 6: Final answer
    x = 13,288.14

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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.