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Finding the Fourth Proportional to 17,723.87, 24,458.02 and 9,765.92

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Solution

The fourth proportional to 17,723.87, 24,458.02 and 9,765.92 is: 13,476.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,723.87 : 24,458.02 = 9,765.92 : x
  2. Step 2: Convert to fraction form
    17,723.87/24,458.02 = 9,765.92/x
  3. Step 3: Cross multiply
    17,723.87x = 24,458.02 × 9,765.92
  4. Step 4: Simplify right side
    17,723.87x = 238,855,066.68
  5. Step 5: Solve for x
    x = 238,855,066.68/17,723.87
  6. Step 6: Final answer
    x = 13,476.46

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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.