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Finding the Fourth Proportional to 24,130.82, 35,982.28 and 22,522.16

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Solution

The fourth proportional to 24,130.82, 35,982.28 and 22,522.16 is: 33,583.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,130.82 : 35,982.28 = 22,522.16 : x
  2. Step 2: Convert to fraction form
    24,130.82/35,982.28 = 22,522.16/x
  3. Step 3: Cross multiply
    24,130.82x = 35,982.28 × 22,522.16
  4. Step 4: Simplify right side
    24,130.82x = 810,398,667.32
  5. Step 5: Solve for x
    x = 810,398,667.32/24,130.82
  6. Step 6: Final answer
    x = 33,583.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.