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Finding the Fourth Proportional to 17,664.77, 24,379.02 and 9,708.54

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Solution

The fourth proportional to 17,664.77, 24,379.02 and 9,708.54 is: 13,398.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,664.77 : 24,379.02 = 9,708.54 : x
  2. Step 2: Convert to fraction form
    17,664.77/24,379.02 = 9,708.54/x
  3. Step 3: Cross multiply
    17,664.77x = 24,379.02 × 9,708.54
  4. Step 4: Simplify right side
    17,664.77x = 236,684,690.83
  5. Step 5: Solve for x
    x = 236,684,690.83/17,664.77
  6. Step 6: Final answer
    x = 13,398.69

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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.