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Finding the Fourth Proportional to 17,831.80, 26,764.14 and 9,073

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Solution

The fourth proportional to 17,831.80, 26,764.14 and 9,073 is: 13,617.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,831.80 : 26,764.14 = 9,073 : x
  2. Step 2: Convert to fraction form
    17,831.80/26,764.14 = 9,073/x
  3. Step 3: Cross multiply
    17,831.80x = 26,764.14 × 9,073
  4. Step 4: Simplify right side
    17,831.80x = 242,831,042.22
  5. Step 5: Solve for x
    x = 242,831,042.22/17,831.80
  6. Step 6: Final answer
    x = 13,617.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.