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Finding the Fourth Proportional to 13,854.78, 19,094.87 and 10,489.53

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Solution

The fourth proportional to 13,854.78, 19,094.87 and 10,489.53 is: 14,456.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,854.78 : 19,094.87 = 10,489.53 : x
  2. Step 2: Convert to fraction form
    13,854.78/19,094.87 = 10,489.53/x
  3. Step 3: Cross multiply
    13,854.78x = 19,094.87 × 10,489.53
  4. Step 4: Simplify right side
    13,854.78x = 200,296,237.93
  5. Step 5: Solve for x
    x = 200,296,237.93/13,854.78
  6. Step 6: Final answer
    x = 14,456.83

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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.