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Finding the Fourth Proportional to 24,223.64, 33,425.61 and 14,016.42

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Solution

The fourth proportional to 24,223.64, 33,425.61 and 14,016.42 is: 19,340.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,223.64 : 33,425.61 = 14,016.42 : x
  2. Step 2: Convert to fraction form
    24,223.64/33,425.61 = 14,016.42/x
  3. Step 3: Cross multiply
    24,223.64x = 33,425.61 × 14,016.42
  4. Step 4: Simplify right side
    24,223.64x = 468,507,388.52
  5. Step 5: Solve for x
    x = 468,507,388.52/24,223.64
  6. Step 6: Final answer
    x = 19,340.92

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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.