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Finding the Fourth Proportional to 13,867.14, 20,798.52 and 5,099.94

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Solution

The fourth proportional to 13,867.14, 20,798.52 and 5,099.94 is: 7,649.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,867.14 : 20,798.52 = 5,099.94 : x
  2. Step 2: Convert to fraction form
    13,867.14/20,798.52 = 5,099.94/x
  3. Step 3: Cross multiply
    13,867.14x = 20,798.52 × 5,099.94
  4. Step 4: Simplify right side
    13,867.14x = 106,071,204.09
  5. Step 5: Solve for x
    x = 106,071,204.09/13,867.14
  6. Step 6: Final answer
    x = 7,649.10

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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.