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Finding the Fourth Proportional to 17,623.32, 24,327.81 and 10,548.42

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Solution

The fourth proportional to 17,623.32, 24,327.81 and 10,548.42 is: 14,561.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,623.32 : 24,327.81 = 10,548.42 : x
  2. Step 2: Convert to fraction form
    17,623.32/24,327.81 = 10,548.42/x
  3. Step 3: Cross multiply
    17,623.32x = 24,327.81 × 10,548.42
  4. Step 4: Simplify right side
    17,623.32x = 256,619,957.56
  5. Step 5: Solve for x
    x = 256,619,957.56/17,623.32
  6. Step 6: Final answer
    x = 14,561.39

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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.