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Finding the Fourth Proportional to 16,808.10, 23,194.51 and 9,734.52

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Solution

The fourth proportional to 16,808.10, 23,194.51 and 9,734.52 is: 13,433.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,808.10 : 23,194.51 = 9,734.52 : x
  2. Step 2: Convert to fraction form
    16,808.10/23,194.51 = 9,734.52/x
  3. Step 3: Cross multiply
    16,808.10x = 23,194.51 × 9,734.52
  4. Step 4: Simplify right side
    16,808.10x = 225,787,421.49
  5. Step 5: Solve for x
    x = 225,787,421.49/16,808.10
  6. Step 6: Final answer
    x = 13,433.25

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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.