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Finding the Fourth Proportional to 12,242.95, 16,895.99 and 6,865.13

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Solution

The fourth proportional to 12,242.95, 16,895.99 and 6,865.13 is: 9,474.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,242.95 : 16,895.99 = 6,865.13 : x
  2. Step 2: Convert to fraction form
    12,242.95/16,895.99 = 6,865.13/x
  3. Step 3: Cross multiply
    12,242.95x = 16,895.99 × 6,865.13
  4. Step 4: Simplify right side
    12,242.95x = 115,993,227.23
  5. Step 5: Solve for x
    x = 115,993,227.23/12,242.95
  6. Step 6: Final answer
    x = 9,474.29

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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.