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Finding the Fourth Proportional to 13,173.81, 18,178.07 and 7,867.50

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Solution

The fourth proportional to 13,173.81, 18,178.07 and 7,867.50 is: 10,856.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,173.81 : 18,178.07 = 7,867.50 : x
  2. Step 2: Convert to fraction form
    13,173.81/18,178.07 = 7,867.50/x
  3. Step 3: Cross multiply
    13,173.81x = 18,178.07 × 7,867.50
  4. Step 4: Simplify right side
    13,173.81x = 143,015,926.39
  5. Step 5: Solve for x
    x = 143,015,926.39/13,173.81
  6. Step 6: Final answer
    x = 10,856.08

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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.