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Finding the Fourth Proportional to 13,185.06, 18,194.90 and 7,876.74

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Solution

The fourth proportional to 13,185.06, 18,194.90 and 7,876.74 is: 10,869.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,185.06 : 18,194.90 = 7,876.74 : x
  2. Step 2: Convert to fraction form
    13,185.06/18,194.90 = 7,876.74/x
  3. Step 3: Cross multiply
    13,185.06x = 18,194.90 × 7,876.74
  4. Step 4: Simplify right side
    13,185.06x = 143,316,496.63
  5. Step 5: Solve for x
    x = 143,316,496.63/13,185.06
  6. Step 6: Final answer
    x = 10,869.61

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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.