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Finding the Fourth Proportional to 23,456.84, 32,369.96 and 13,385.84

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Solution

The fourth proportional to 23,456.84, 32,369.96 and 13,385.84 is: 18,472.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,456.84 : 32,369.96 = 13,385.84 : x
  2. Step 2: Convert to fraction form
    23,456.84/32,369.96 = 13,385.84/x
  3. Step 3: Cross multiply
    23,456.84x = 32,369.96 × 13,385.84
  4. Step 4: Simplify right side
    23,456.84x = 433,299,105.37
  5. Step 5: Solve for x
    x = 433,299,105.37/23,456.84
  6. Step 6: Final answer
    x = 18,472.19

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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.