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Finding the Fourth Proportional to 13,178.05, 18,184.93 and 7,208.53

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Solution

The fourth proportional to 13,178.05, 18,184.93 and 7,208.53 is: 9,947.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,178.05 : 18,184.93 = 7,208.53 : x
  2. Step 2: Convert to fraction form
    13,178.05/18,184.93 = 7,208.53/x
  3. Step 3: Cross multiply
    13,178.05x = 18,184.93 × 7,208.53
  4. Step 4: Simplify right side
    13,178.05x = 131,086,613.45
  5. Step 5: Solve for x
    x = 131,086,613.45/13,178.05
  6. Step 6: Final answer
    x = 9,947.35

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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.