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Finding the Fourth Proportional to 12,884.95, 17,789.76 and 9,895.42

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Solution

The fourth proportional to 12,884.95, 17,789.76 and 9,895.42 is: 13,662.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,884.95 : 17,789.76 = 9,895.42 : x
  2. Step 2: Convert to fraction form
    12,884.95/17,789.76 = 9,895.42/x
  3. Step 3: Cross multiply
    12,884.95x = 17,789.76 × 9,895.42
  4. Step 4: Simplify right side
    12,884.95x = 176,037,146.90
  5. Step 5: Solve for x
    x = 176,037,146.90/12,884.95
  6. Step 6: Final answer
    x = 13,662.23

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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.