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Finding the Fourth Proportional to 22,476.72, 31,024 and 13,043.36

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Solution

The fourth proportional to 22,476.72, 31,024 and 13,043.36 is: 18,003.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,476.72 : 31,024 = 13,043.36 : x
  2. Step 2: Convert to fraction form
    22,476.72/31,024 = 13,043.36/x
  3. Step 3: Cross multiply
    22,476.72x = 31,024 × 13,043.36
  4. Step 4: Simplify right side
    22,476.72x = 404,657,200.64
  5. Step 5: Solve for x
    x = 404,657,200.64/22,476.72
  6. Step 6: Final answer
    x = 18,003.39

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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.