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Finding the Fourth Proportional to 13,116.81, 18,099.68 and 8,009.76

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Solution

The fourth proportional to 13,116.81, 18,099.68 and 8,009.76 is: 11,052.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,116.81 : 18,099.68 = 8,009.76 : x
  2. Step 2: Convert to fraction form
    13,116.81/18,099.68 = 8,009.76/x
  3. Step 3: Cross multiply
    13,116.81x = 18,099.68 × 8,009.76
  4. Step 4: Simplify right side
    13,116.81x = 144,974,052.83
  5. Step 5: Solve for x
    x = 144,974,052.83/13,116.81
  6. Step 6: Final answer
    x = 11,052.54

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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.