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Finding the Fourth Proportional to 16,234.56, 22,403.76 and 9,065.16

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Solution

The fourth proportional to 16,234.56, 22,403.76 and 9,065.16 is: 12,509.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,234.56 : 22,403.76 = 9,065.16 : x
  2. Step 2: Convert to fraction form
    16,234.56/22,403.76 = 9,065.16/x
  3. Step 3: Cross multiply
    16,234.56x = 22,403.76 × 9,065.16
  4. Step 4: Simplify right side
    16,234.56x = 203,093,669.00
  5. Step 5: Solve for x
    x = 203,093,669.00/16,234.56
  6. Step 6: Final answer
    x = 12,509.96

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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.