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Finding the Fourth Proportional to 12,920.06, 17,831.05 and 8,204.34

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Solution

The fourth proportional to 12,920.06, 17,831.05 and 8,204.34 is: 11,322.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,920.06 : 17,831.05 = 8,204.34 : x
  2. Step 2: Convert to fraction form
    12,920.06/17,831.05 = 8,204.34/x
  3. Step 3: Cross multiply
    12,920.06x = 17,831.05 × 8,204.34
  4. Step 4: Simplify right side
    12,920.06x = 146,292,089.26
  5. Step 5: Solve for x
    x = 146,292,089.26/12,920.06
  6. Step 6: Final answer
    x = 11,322.86

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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.