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Finding the Fourth Proportional to 17,211.20, 25,802.40 and 9,003.20

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Solution

The fourth proportional to 17,211.20, 25,802.40 and 9,003.20 is: 13,497.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,211.20 : 25,802.40 = 9,003.20 : x
  2. Step 2: Convert to fraction form
    17,211.20/25,802.40 = 9,003.20/x
  3. Step 3: Cross multiply
    17,211.20x = 25,802.40 × 9,003.20
  4. Step 4: Simplify right side
    17,211.20x = 232,304,167.68
  5. Step 5: Solve for x
    x = 232,304,167.68/17,211.20
  6. Step 6: Final answer
    x = 13,497.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.