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Finding the Fourth Proportional to 13,099.74, 18,078.10 and 7,434.50

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Solution

The fourth proportional to 13,099.74, 18,078.10 and 7,434.50 is: 10,259.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,099.74 : 18,078.10 = 7,434.50 : x
  2. Step 2: Convert to fraction form
    13,099.74/18,078.10 = 7,434.50/x
  3. Step 3: Cross multiply
    13,099.74x = 18,078.10 × 7,434.50
  4. Step 4: Simplify right side
    13,099.74x = 134,401,634.45
  5. Step 5: Solve for x
    x = 134,401,634.45/13,099.74
  6. Step 6: Final answer
    x = 10,259.87

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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.