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Finding the Fourth Proportional to 15,253, 22,882.38 and 7,045

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Solution

The fourth proportional to 15,253, 22,882.38 and 7,045 is: 10,568.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,253 : 22,882.38 = 7,045 : x
  2. Step 2: Convert to fraction form
    15,253/22,882.38 = 7,045/x
  3. Step 3: Cross multiply
    15,253x = 22,882.38 × 7,045
  4. Step 4: Simplify right side
    15,253x = 161,206,367.10
  5. Step 5: Solve for x
    x = 161,206,367.10/15,253
  6. Step 6: Final answer
    x = 10,568.83

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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.