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Finding the Fourth Proportional to 22,715.88, 34,035.96 and 7,916.64

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Solution

The fourth proportional to 22,715.88, 34,035.96 and 7,916.64 is: 11,861.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,715.88 : 34,035.96 = 7,916.64 : x
  2. Step 2: Convert to fraction form
    22,715.88/34,035.96 = 7,916.64/x
  3. Step 3: Cross multiply
    22,715.88x = 34,035.96 × 7,916.64
  4. Step 4: Simplify right side
    22,715.88x = 269,450,442.37
  5. Step 5: Solve for x
    x = 269,450,442.37/22,715.88
  6. Step 6: Final answer
    x = 11,861.77

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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.