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Finding the Fourth Proportional to 21,196.67, 31,802.81 and 8,713.36

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Solution

The fourth proportional to 21,196.67, 31,802.81 and 8,713.36 is: 13,073.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,196.67 : 31,802.81 = 8,713.36 : x
  2. Step 2: Convert to fraction form
    21,196.67/31,802.81 = 8,713.36/x
  3. Step 3: Cross multiply
    21,196.67x = 31,802.81 × 8,713.36
  4. Step 4: Simplify right side
    21,196.67x = 277,109,209.47
  5. Step 5: Solve for x
    x = 277,109,209.47/21,196.67
  6. Step 6: Final answer
    x = 13,073.24

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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.