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Finding the Fourth Proportional to 23,354.13, 32,228.79 and 12,744

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Solution

The fourth proportional to 23,354.13, 32,228.79 and 12,744 is: 17,586.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,354.13 : 32,228.79 = 12,744 : x
  2. Step 2: Convert to fraction form
    23,354.13/32,228.79 = 12,744/x
  3. Step 3: Cross multiply
    23,354.13x = 32,228.79 × 12,744
  4. Step 4: Simplify right side
    23,354.13x = 410,723,699.76
  5. Step 5: Solve for x
    x = 410,723,699.76/23,354.13
  6. Step 6: Final answer
    x = 17,586.77

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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.