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Finding the Fourth Proportional to 15,651.68, 23,480.22 and 5,261

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Solution

The fourth proportional to 15,651.68, 23,480.22 and 5,261 is: 7,892.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,651.68 : 23,480.22 = 5,261 : x
  2. Step 2: Convert to fraction form
    15,651.68/23,480.22 = 5,261/x
  3. Step 3: Cross multiply
    15,651.68x = 23,480.22 × 5,261
  4. Step 4: Simplify right side
    15,651.68x = 123,529,437.42
  5. Step 5: Solve for x
    x = 123,529,437.42/15,651.68
  6. Step 6: Final answer
    x = 7,892.41

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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.