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Finding the Fourth Proportional to 22,578, 33,844.56 and 15,165.42

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Solution

The fourth proportional to 22,578, 33,844.56 and 15,165.42 is: 22,733.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,578 : 33,844.56 = 15,165.42 : x
  2. Step 2: Convert to fraction form
    22,578/33,844.56 = 15,165.42/x
  3. Step 3: Cross multiply
    22,578x = 33,844.56 × 15,165.42
  4. Step 4: Simplify right side
    22,578x = 513,266,967.12
  5. Step 5: Solve for x
    x = 513,266,967.12/22,578
  6. Step 6: Final answer
    x = 22,733.06

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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.