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Finding the Fourth Proportional to 22,754.32, 34,116.84 and 9,603.16

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Solution

The fourth proportional to 22,754.32, 34,116.84 and 9,603.16 is: 14,398.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,754.32 : 34,116.84 = 9,603.16 : x
  2. Step 2: Convert to fraction form
    22,754.32/34,116.84 = 9,603.16/x
  3. Step 3: Cross multiply
    22,754.32x = 34,116.84 × 9,603.16
  4. Step 4: Simplify right side
    22,754.32x = 327,629,473.21
  5. Step 5: Solve for x
    x = 327,629,473.21/22,754.32
  6. Step 6: Final answer
    x = 14,398.56

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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.