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Finding the Fourth Proportional to 13,887.98, 19,145.48 and 9,902.18

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Solution

The fourth proportional to 13,887.98, 19,145.48 and 9,902.18 is: 13,650.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,887.98 : 19,145.48 = 9,902.18 : x
  2. Step 2: Convert to fraction form
    13,887.98/19,145.48 = 9,902.18/x
  3. Step 3: Cross multiply
    13,887.98x = 19,145.48 × 9,902.18
  4. Step 4: Simplify right side
    13,887.98x = 189,581,989.15
  5. Step 5: Solve for x
    x = 189,581,989.15/13,887.98
  6. Step 6: Final answer
    x = 13,650.80

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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.