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Finding the Fourth Proportional to 13,884.98, 19,141.35 and 9,899.18

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Solution

The fourth proportional to 13,884.98, 19,141.35 and 9,899.18 is: 13,646.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,884.98 : 19,141.35 = 9,899.18 : x
  2. Step 2: Convert to fraction form
    13,884.98/19,141.35 = 9,899.18/x
  3. Step 3: Cross multiply
    13,884.98x = 19,141.35 × 9,899.18
  4. Step 4: Simplify right side
    13,884.98x = 189,483,560.19
  5. Step 5: Solve for x
    x = 189,483,560.19/13,884.98
  6. Step 6: Final answer
    x = 13,646.65

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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.