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Finding the Fourth Proportional to 23,776.35, 32,812.39 and 13,165.98

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Solution

The fourth proportional to 23,776.35, 32,812.39 and 13,165.98 is: 18,169.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,776.35 : 32,812.39 = 13,165.98 : x
  2. Step 2: Convert to fraction form
    23,776.35/32,812.39 = 13,165.98/x
  3. Step 3: Cross multiply
    23,776.35x = 32,812.39 × 13,165.98
  4. Step 4: Simplify right side
    23,776.35x = 432,007,302.33
  5. Step 5: Solve for x
    x = 432,007,302.33/23,776.35
  6. Step 6: Final answer
    x = 18,169.62

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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.