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Finding the Fourth Proportional to 22,820.16, 34,233.46 and 7,026.50

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Solution

The fourth proportional to 22,820.16, 34,233.46 and 7,026.50 is: 10,540.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,820.16 : 34,233.46 = 7,026.50 : x
  2. Step 2: Convert to fraction form
    22,820.16/34,233.46 = 7,026.50/x
  3. Step 3: Cross multiply
    22,820.16x = 34,233.46 × 7,026.50
  4. Step 4: Simplify right side
    22,820.16x = 240,541,406.69
  5. Step 5: Solve for x
    x = 240,541,406.69/22,820.16
  6. Step 6: Final answer
    x = 10,540.74

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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.