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Finding the Fourth Proportional to 13,177.94, 18,185.84 and 7,210

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Solution

The fourth proportional to 13,177.94, 18,185.84 and 7,210 is: 9,949.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,177.94 : 18,185.84 = 7,210 : x
  2. Step 2: Convert to fraction form
    13,177.94/18,185.84 = 7,210/x
  3. Step 3: Cross multiply
    13,177.94x = 18,185.84 × 7,210
  4. Step 4: Simplify right side
    13,177.94x = 131,119,906.40
  5. Step 5: Solve for x
    x = 131,119,906.40/13,177.94
  6. Step 6: Final answer
    x = 9,949.95

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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.