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Finding the Fourth Proportional to 14,571.92, 20,116.08 and 9,536.33

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Solution

The fourth proportional to 14,571.92, 20,116.08 and 9,536.33 is: 13,164.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,571.92 : 20,116.08 = 9,536.33 : x
  2. Step 2: Convert to fraction form
    14,571.92/20,116.08 = 9,536.33/x
  3. Step 3: Cross multiply
    14,571.92x = 20,116.08 × 9,536.33
  4. Step 4: Simplify right side
    14,571.92x = 191,833,476.61
  5. Step 5: Solve for x
    x = 191,833,476.61/14,571.92
  6. Step 6: Final answer
    x = 13,164.60

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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.