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Finding the Fourth Proportional to 17,723.52, 24,458.14 and 9,766.48

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Solution

The fourth proportional to 17,723.52, 24,458.14 and 9,766.48 is: 13,477.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,723.52 : 24,458.14 = 9,766.48 : x
  2. Step 2: Convert to fraction form
    17,723.52/24,458.14 = 9,766.48/x
  3. Step 3: Cross multiply
    17,723.52x = 24,458.14 × 9,766.48
  4. Step 4: Simplify right side
    17,723.52x = 238,869,935.15
  5. Step 5: Solve for x
    x = 238,869,935.15/17,723.52
  6. Step 6: Final answer
    x = 13,477.57

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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.