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Finding the Fourth Proportional to 16,911.34, 23,331.96 and 9,831.94

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Solution

The fourth proportional to 16,911.34, 23,331.96 and 9,831.94 is: 13,564.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,911.34 : 23,331.96 = 9,831.94 : x
  2. Step 2: Convert to fraction form
    16,911.34/23,331.96 = 9,831.94/x
  3. Step 3: Cross multiply
    16,911.34x = 23,331.96 × 9,831.94
  4. Step 4: Simplify right side
    16,911.34x = 229,398,430.80
  5. Step 5: Solve for x
    x = 229,398,430.80/16,911.34
  6. Step 6: Final answer
    x = 13,564.77

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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.