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Finding the Fourth Proportional to 16,545.93, 24,783.25 and 7,767.69

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Solution

The fourth proportional to 16,545.93, 24,783.25 and 7,767.69 is: 11,634.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,545.93 : 24,783.25 = 7,767.69 : x
  2. Step 2: Convert to fraction form
    16,545.93/24,783.25 = 7,767.69/x
  3. Step 3: Cross multiply
    16,545.93x = 24,783.25 × 7,767.69
  4. Step 4: Simplify right side
    16,545.93x = 192,508,603.19
  5. Step 5: Solve for x
    x = 192,508,603.19/16,545.93
  6. Step 6: Final answer
    x = 11,634.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.