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Finding the Fourth Proportional to 22,731.26, 34,101.48 and 7,145.24

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Solution

The fourth proportional to 22,731.26, 34,101.48 and 7,145.24 is: 10,719.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,731.26 : 34,101.48 = 7,145.24 : x
  2. Step 2: Convert to fraction form
    22,731.26/34,101.48 = 7,145.24/x
  3. Step 3: Cross multiply
    22,731.26x = 34,101.48 × 7,145.24
  4. Step 4: Simplify right side
    22,731.26x = 243,663,258.96
  5. Step 5: Solve for x
    x = 243,663,258.96/22,731.26
  6. Step 6: Final answer
    x = 10,719.30

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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.