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Finding the Fourth Proportional to 16,502.37, 22,773.25 and 8,948.64

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Solution

The fourth proportional to 16,502.37, 22,773.25 and 8,948.64 is: 12,349.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,502.37 : 22,773.25 = 8,948.64 : x
  2. Step 2: Convert to fraction form
    16,502.37/22,773.25 = 8,948.64/x
  3. Step 3: Cross multiply
    16,502.37x = 22,773.25 × 8,948.64
  4. Step 4: Simplify right side
    16,502.37x = 203,789,712.47
  5. Step 5: Solve for x
    x = 203,789,712.47/16,502.37
  6. Step 6: Final answer
    x = 12,349.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.