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Finding the Fourth Proportional to 22,030.38, 33,049.20 and 7,236

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Solution

The fourth proportional to 22,030.38, 33,049.20 and 7,236 is: 10,855.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,030.38 : 33,049.20 = 7,236 : x
  2. Step 2: Convert to fraction form
    22,030.38/33,049.20 = 7,236/x
  3. Step 3: Cross multiply
    22,030.38x = 33,049.20 × 7,236
  4. Step 4: Simplify right side
    22,030.38x = 239,144,011.20
  5. Step 5: Solve for x
    x = 239,144,011.20/22,030.38
  6. Step 6: Final answer
    x = 10,855.19

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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.