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Finding the Fourth Proportional to 14,827.68, 20,469.64 and 11,462.88

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Solution

The fourth proportional to 14,827.68, 20,469.64 and 11,462.88 is: 15,824.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,827.68 : 20,469.64 = 11,462.88 : x
  2. Step 2: Convert to fraction form
    14,827.68/20,469.64 = 11,462.88/x
  3. Step 3: Cross multiply
    14,827.68x = 20,469.64 × 11,462.88
  4. Step 4: Simplify right side
    14,827.68x = 234,641,026.96
  5. Step 5: Solve for x
    x = 234,641,026.96/14,827.68
  6. Step 6: Final answer
    x = 15,824.53

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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.