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Finding the Fourth Proportional to 13,433.84, 18,544.80 and 9,191.72

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Solution

The fourth proportional to 13,433.84, 18,544.80 and 9,191.72 is: 12,688.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,433.84 : 18,544.80 = 9,191.72 : x
  2. Step 2: Convert to fraction form
    13,433.84/18,544.80 = 9,191.72/x
  3. Step 3: Cross multiply
    13,433.84x = 18,544.80 × 9,191.72
  4. Step 4: Simplify right side
    13,433.84x = 170,458,609.06
  5. Step 5: Solve for x
    x = 170,458,609.06/13,433.84
  6. Step 6: Final answer
    x = 12,688.75

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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.