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Finding the Fourth Proportional to 17,723.58, 24,458.49 and 9,766.32

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Solution

The fourth proportional to 17,723.58, 24,458.49 and 9,766.32 is: 13,477.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,723.58 : 24,458.49 = 9,766.32 : x
  2. Step 2: Convert to fraction form
    17,723.58/24,458.49 = 9,766.32/x
  3. Step 3: Cross multiply
    17,723.58x = 24,458.49 × 9,766.32
  4. Step 4: Simplify right side
    17,723.58x = 238,869,440.06
  5. Step 5: Solve for x
    x = 238,869,440.06/17,723.58
  6. Step 6: Final answer
    x = 13,477.49

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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.