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Finding the Fourth Proportional to 23,784.50, 32,822.18 and 13,173.90

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Solution

The fourth proportional to 23,784.50, 32,822.18 and 13,173.90 is: 18,179.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,784.50 : 32,822.18 = 13,173.90 : x
  2. Step 2: Convert to fraction form
    23,784.50/32,822.18 = 13,173.90/x
  3. Step 3: Cross multiply
    23,784.50x = 32,822.18 × 13,173.90
  4. Step 4: Simplify right side
    23,784.50x = 432,396,117.10
  5. Step 5: Solve for x
    x = 432,396,117.10/23,784.50
  6. Step 6: Final answer
    x = 18,179.74

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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.