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Finding the Fourth Proportional to 23,776.71, 32,810.97 and 13,166.52

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Solution

The fourth proportional to 23,776.71, 32,810.97 and 13,166.52 is: 18,169.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,776.71 : 32,810.97 = 13,166.52 : x
  2. Step 2: Convert to fraction form
    23,776.71/32,810.97 = 13,166.52/x
  3. Step 3: Cross multiply
    23,776.71x = 32,810.97 × 13,166.52
  4. Step 4: Simplify right side
    23,776.71x = 432,006,292.72
  5. Step 5: Solve for x
    x = 432,006,292.72/23,776.71
  6. Step 6: Final answer
    x = 18,169.30

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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.