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Finding the Fourth Proportional to 13,885.86, 19,142.55 and 9,900.05

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Solution

The fourth proportional to 13,885.86, 19,142.55 and 9,900.05 is: 13,647.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,885.86 : 19,142.55 = 9,900.05 : x
  2. Step 2: Convert to fraction form
    13,885.86/19,142.55 = 9,900.05/x
  3. Step 3: Cross multiply
    13,885.86x = 19,142.55 × 9,900.05
  4. Step 4: Simplify right side
    13,885.86x = 189,512,202.13
  5. Step 5: Solve for x
    x = 189,512,202.13/13,885.86
  6. Step 6: Final answer
    x = 13,647.85

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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.