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Finding the Fourth Proportional to 13,199.68, 18,208.65 and 8,162.29

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Solution

The fourth proportional to 13,199.68, 18,208.65 and 8,162.29 is: 11,259.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,199.68 : 18,208.65 = 8,162.29 : x
  2. Step 2: Convert to fraction form
    13,199.68/18,208.65 = 8,162.29/x
  3. Step 3: Cross multiply
    13,199.68x = 18,208.65 × 8,162.29
  4. Step 4: Simplify right side
    13,199.68x = 148,624,281.81
  5. Step 5: Solve for x
    x = 148,624,281.81/13,199.68
  6. Step 6: Final answer
    x = 11,259.69

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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.