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Finding the Fourth Proportional to 22,247.52, 30,701.56 and 13,864

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Solution

The fourth proportional to 22,247.52, 30,701.56 and 13,864 is: 19,132.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,247.52 : 30,701.56 = 13,864 : x
  2. Step 2: Convert to fraction form
    22,247.52/30,701.56 = 13,864/x
  3. Step 3: Cross multiply
    22,247.52x = 30,701.56 × 13,864
  4. Step 4: Simplify right side
    22,247.52x = 425,646,427.84
  5. Step 5: Solve for x
    x = 425,646,427.84/22,247.52
  6. Step 6: Final answer
    x = 19,132.31

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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.