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Finding the Fourth Proportional to 16,019.25, 22,106.57 and 8,945.67

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Solution

The fourth proportional to 16,019.25, 22,106.57 and 8,945.67 is: 12,345.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,019.25 : 22,106.57 = 8,945.67 : x
  2. Step 2: Convert to fraction form
    16,019.25/22,106.57 = 8,945.67/x
  3. Step 3: Cross multiply
    16,019.25x = 22,106.57 × 8,945.67
  4. Step 4: Simplify right side
    16,019.25x = 197,758,035.32
  5. Step 5: Solve for x
    x = 197,758,035.32/16,019.25
  6. Step 6: Final answer
    x = 12,345.02

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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.