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Finding the Fourth Proportional to 17,506.25, 24,158.92 and 9,548.54

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Solution

The fourth proportional to 17,506.25, 24,158.92 and 9,548.54 is: 13,177.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,506.25 : 24,158.92 = 9,548.54 : x
  2. Step 2: Convert to fraction form
    17,506.25/24,158.92 = 9,548.54/x
  3. Step 3: Cross multiply
    17,506.25x = 24,158.92 × 9,548.54
  4. Step 4: Simplify right side
    17,506.25x = 230,682,293.18
  5. Step 5: Solve for x
    x = 230,682,293.18/17,506.25
  6. Step 6: Final answer
    x = 13,177.14

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1.5x scale

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.