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Finding the Fourth Proportional to 23,299.46, 32,154 and 13,228.34

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Solution

The fourth proportional to 23,299.46, 32,154 and 13,228.34 is: 18,255.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,299.46 : 32,154 = 13,228.34 : x
  2. Step 2: Convert to fraction form
    23,299.46/32,154 = 13,228.34/x
  3. Step 3: Cross multiply
    23,299.46x = 32,154 × 13,228.34
  4. Step 4: Simplify right side
    23,299.46x = 425,344,044.36
  5. Step 5: Solve for x
    x = 425,344,044.36/23,299.46
  6. Step 6: Final answer
    x = 18,255.53

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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.