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Finding the Fourth Proportional to 23,842.96, 32,903.72 and 13,233.17

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Solution

The fourth proportional to 23,842.96, 32,903.72 and 13,233.17 is: 18,262.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,842.96 : 32,903.72 = 13,233.17 : x
  2. Step 2: Convert to fraction form
    23,842.96/32,903.72 = 13,233.17/x
  3. Step 3: Cross multiply
    23,842.96x = 32,903.72 × 13,233.17
  4. Step 4: Simplify right side
    23,842.96x = 435,420,586.11
  5. Step 5: Solve for x
    x = 435,420,586.11/23,842.96
  6. Step 6: Final answer
    x = 18,262.02

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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.