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Finding the Fourth Proportional to 19,232.62, 26,533.70 and 12,524

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Solution

The fourth proportional to 19,232.62, 26,533.70 and 12,524 is: 17,278.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,232.62 : 26,533.70 = 12,524 : x
  2. Step 2: Convert to fraction form
    19,232.62/26,533.70 = 12,524/x
  3. Step 3: Cross multiply
    19,232.62x = 26,533.70 × 12,524
  4. Step 4: Simplify right side
    19,232.62x = 332,308,058.80
  5. Step 5: Solve for x
    x = 332,308,058.80/19,232.62
  6. Step 6: Final answer
    x = 17,278.36

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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.