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Finding the Fourth Proportional to 22,796.38, 31,464.24 and 14,824.72

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Solution

The fourth proportional to 22,796.38, 31,464.24 and 14,824.72 is: 20,461.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,796.38 : 31,464.24 = 14,824.72 : x
  2. Step 2: Convert to fraction form
    22,796.38/31,464.24 = 14,824.72/x
  3. Step 3: Cross multiply
    22,796.38x = 31,464.24 × 14,824.72
  4. Step 4: Simplify right side
    22,796.38x = 466,448,548.01
  5. Step 5: Solve for x
    x = 466,448,548.01/22,796.38
  6. Step 6: Final answer
    x = 20,461.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.