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Finding the Fourth Proportional to 13,165.81, 18,169.08 and 7,197.85

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Solution

The fourth proportional to 13,165.81, 18,169.08 and 7,197.85 is: 9,933.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,165.81 : 18,169.08 = 7,197.85 : x
  2. Step 2: Convert to fraction form
    13,165.81/18,169.08 = 7,197.85/x
  3. Step 3: Cross multiply
    13,165.81x = 18,169.08 × 7,197.85
  4. Step 4: Simplify right side
    13,165.81x = 130,778,312.48
  5. Step 5: Solve for x
    x = 130,778,312.48/13,165.81
  6. Step 6: Final answer
    x = 9,933.18

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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.