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Finding the Fourth Proportional to 17,525.80, 24,184.76 and 9,971.42

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Solution

The fourth proportional to 17,525.80, 24,184.76 and 9,971.42 is: 13,760.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,525.80 : 24,184.76 = 9,971.42 : x
  2. Step 2: Convert to fraction form
    17,525.80/24,184.76 = 9,971.42/x
  3. Step 3: Cross multiply
    17,525.80x = 24,184.76 × 9,971.42
  4. Step 4: Simplify right side
    17,525.80x = 241,156,399.56
  5. Step 5: Solve for x
    x = 241,156,399.56/17,525.80
  6. Step 6: Final answer
    x = 13,760.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.