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Finding the Fourth Proportional to 13,859.88, 19,142.58 and 10,099.86

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Solution

The fourth proportional to 13,859.88, 19,142.58 and 10,099.86 is: 13,949.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,859.88 : 19,142.58 = 10,099.86 : x
  2. Step 2: Convert to fraction form
    13,859.88/19,142.58 = 10,099.86/x
  3. Step 3: Cross multiply
    13,859.88x = 19,142.58 × 10,099.86
  4. Step 4: Simplify right side
    13,859.88x = 193,337,378.04
  5. Step 5: Solve for x
    x = 193,337,378.04/13,859.88
  6. Step 6: Final answer
    x = 13,949.43

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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.