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Finding the Fourth Proportional to 13,867.22, 19,135.41 and 7,898.42

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Solution

The fourth proportional to 13,867.22, 19,135.41 and 7,898.42 is: 10,899.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,867.22 : 19,135.41 = 7,898.42 : x
  2. Step 2: Convert to fraction form
    13,867.22/19,135.41 = 7,898.42/x
  3. Step 3: Cross multiply
    13,867.22x = 19,135.41 × 7,898.42
  4. Step 4: Simplify right side
    13,867.22x = 151,139,505.05
  5. Step 5: Solve for x
    x = 151,139,505.05/13,867.22
  6. Step 6: Final answer
    x = 10,899.05

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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.