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Finding the Fourth Proportional to 16,808.96, 23,194.88 and 9,733.12

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Solution

The fourth proportional to 16,808.96, 23,194.88 and 9,733.12 is: 13,430.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,808.96 : 23,194.88 = 9,733.12 : x
  2. Step 2: Convert to fraction form
    16,808.96/23,194.88 = 9,733.12/x
  3. Step 3: Cross multiply
    16,808.96x = 23,194.88 × 9,733.12
  4. Step 4: Simplify right side
    16,808.96x = 225,758,550.43
  5. Step 5: Solve for x
    x = 225,758,550.43/16,808.96
  6. Step 6: Final answer
    x = 13,430.85

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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.