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Finding the Fourth Proportional to 17,603.62, 24,292.80 and 9,537.12

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Solution

The fourth proportional to 17,603.62, 24,292.80 and 9,537.12 is: 13,161.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,603.62 : 24,292.80 = 9,537.12 : x
  2. Step 2: Convert to fraction form
    17,603.62/24,292.80 = 9,537.12/x
  3. Step 3: Cross multiply
    17,603.62x = 24,292.80 × 9,537.12
  4. Step 4: Simplify right side
    17,603.62x = 231,683,348.74
  5. Step 5: Solve for x
    x = 231,683,348.74/17,603.62
  6. Step 6: Final answer
    x = 13,161.12

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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.