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Finding the Fourth Proportional to 13,496.67, 18,624.06 and 8,191.17

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Solution

The fourth proportional to 13,496.67, 18,624.06 and 8,191.17 is: 11,303.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,496.67 : 18,624.06 = 8,191.17 : x
  2. Step 2: Convert to fraction form
    13,496.67/18,624.06 = 8,191.17/x
  3. Step 3: Cross multiply
    13,496.67x = 18,624.06 × 8,191.17
  4. Step 4: Simplify right side
    13,496.67x = 152,552,841.55
  5. Step 5: Solve for x
    x = 152,552,841.55/13,496.67
  6. Step 6: Final answer
    x = 11,303.00

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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.