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Finding the Fourth Proportional to 13,846.22, 19,105.22 and 7,877.53

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Solution

The fourth proportional to 13,846.22, 19,105.22 and 7,877.53 is: 10,869.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,846.22 : 19,105.22 = 7,877.53 : x
  2. Step 2: Convert to fraction form
    13,846.22/19,105.22 = 7,877.53/x
  3. Step 3: Cross multiply
    13,846.22x = 19,105.22 × 7,877.53
  4. Step 4: Simplify right side
    13,846.22x = 150,501,808.79
  5. Step 5: Solve for x
    x = 150,501,808.79/13,846.22
  6. Step 6: Final answer
    x = 10,869.53

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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.