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Finding the Fourth Proportional to 13,099.19, 18,077.31 and 7,434.20

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Solution

The fourth proportional to 13,099.19, 18,077.31 and 7,434.20 is: 10,259.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,099.19 : 18,077.31 = 7,434.20 : x
  2. Step 2: Convert to fraction form
    13,099.19/18,077.31 = 7,434.20/x
  3. Step 3: Cross multiply
    13,099.19x = 18,077.31 × 7,434.20
  4. Step 4: Simplify right side
    13,099.19x = 134,390,247.62
  5. Step 5: Solve for x
    x = 134,390,247.62/13,099.19
  6. Step 6: Final answer
    x = 10,259.44

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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.