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Finding the Fourth Proportional to 22,859.69, 34,266.11 and 15,464.88

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Solution

The fourth proportional to 22,859.69, 34,266.11 and 15,464.88 is: 23,181.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,859.69 : 34,266.11 = 15,464.88 : x
  2. Step 2: Convert to fraction form
    22,859.69/34,266.11 = 15,464.88/x
  3. Step 3: Cross multiply
    22,859.69x = 34,266.11 × 15,464.88
  4. Step 4: Simplify right side
    22,859.69x = 529,921,201.89
  5. Step 5: Solve for x
    x = 529,921,201.89/22,859.69
  6. Step 6: Final answer
    x = 23,181.47

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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.