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Finding the Fourth Proportional to 16,305, 22,502.34 and 9,134.79

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Solution

The fourth proportional to 16,305, 22,502.34 and 9,134.79 is: 12,606.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,305 : 22,502.34 = 9,134.79 : x
  2. Step 2: Convert to fraction form
    16,305/22,502.34 = 9,134.79/x
  3. Step 3: Cross multiply
    16,305x = 22,502.34 × 9,134.79
  4. Step 4: Simplify right side
    16,305x = 205,554,150.41
  5. Step 5: Solve for x
    x = 205,554,150.41/16,305
  6. Step 6: Final answer
    x = 12,606.82

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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.