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Finding the Fourth Proportional to 12,036.50, 16,611.48 and 6,733.02

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Solution

The fourth proportional to 12,036.50, 16,611.48 and 6,733.02 is: 9,292.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,036.50 : 16,611.48 = 6,733.02 : x
  2. Step 2: Convert to fraction form
    12,036.50/16,611.48 = 6,733.02/x
  3. Step 3: Cross multiply
    12,036.50x = 16,611.48 × 6,733.02
  4. Step 4: Simplify right side
    12,036.50x = 111,845,489.36
  5. Step 5: Solve for x
    x = 111,845,489.36/12,036.50
  6. Step 6: Final answer
    x = 9,292.19

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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.