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Finding the Fourth Proportional to 10,502.73, 14,468.41 and 8,824.20

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Solution

The fourth proportional to 10,502.73, 14,468.41 and 8,824.20 is: 12,156.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,502.73 : 14,468.41 = 8,824.20 : x
  2. Step 2: Convert to fraction form
    10,502.73/14,468.41 = 8,824.20/x
  3. Step 3: Cross multiply
    10,502.73x = 14,468.41 × 8,824.20
  4. Step 4: Simplify right side
    10,502.73x = 127,672,143.52
  5. Step 5: Solve for x
    x = 127,672,143.52/10,502.73
  6. Step 6: Final answer
    x = 12,156.09

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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.