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Finding the Fourth Proportional to 12,099.20, 18,148.80 and 7,965.50

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Solution

The fourth proportional to 12,099.20, 18,148.80 and 7,965.50 is: 11,948.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,099.20 : 18,148.80 = 7,965.50 : x
  2. Step 2: Convert to fraction form
    12,099.20/18,148.80 = 7,965.50/x
  3. Step 3: Cross multiply
    12,099.20x = 18,148.80 × 7,965.50
  4. Step 4: Simplify right side
    12,099.20x = 144,564,266.40
  5. Step 5: Solve for x
    x = 144,564,266.40/12,099.20
  6. Step 6: Final answer
    x = 11,948.25

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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.