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Finding the Fourth Proportional to 22,715.38, 34,073.38 and 7,133

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Solution

The fourth proportional to 22,715.38, 34,073.38 and 7,133 is: 10,699.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,715.38 : 34,073.38 = 7,133 : x
  2. Step 2: Convert to fraction form
    22,715.38/34,073.38 = 7,133/x
  3. Step 3: Cross multiply
    22,715.38x = 34,073.38 × 7,133
  4. Step 4: Simplify right side
    22,715.38x = 243,045,419.54
  5. Step 5: Solve for x
    x = 243,045,419.54/22,715.38
  6. Step 6: Final answer
    x = 10,699.60

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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.