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Finding the Fourth Proportional to 17,003.85, 23,462.62 and 9,831.09

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Solution

The fourth proportional to 17,003.85, 23,462.62 and 9,831.09 is: 13,565.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,003.85 : 23,462.62 = 9,831.09 : x
  2. Step 2: Convert to fraction form
    17,003.85/23,462.62 = 9,831.09/x
  3. Step 3: Cross multiply
    17,003.85x = 23,462.62 × 9,831.09
  4. Step 4: Simplify right side
    17,003.85x = 230,663,128.86
  5. Step 5: Solve for x
    x = 230,663,128.86/17,003.85
  6. Step 6: Final answer
    x = 13,565.35

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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.