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Finding the Fourth Proportional to 16,412.68, 24,603.90 and 6,545.80

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Solution

The fourth proportional to 16,412.68, 24,603.90 and 6,545.80 is: 9,812.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,412.68 : 24,603.90 = 6,545.80 : x
  2. Step 2: Convert to fraction form
    16,412.68/24,603.90 = 6,545.80/x
  3. Step 3: Cross multiply
    16,412.68x = 24,603.90 × 6,545.80
  4. Step 4: Simplify right side
    16,412.68x = 161,052,208.62
  5. Step 5: Solve for x
    x = 161,052,208.62/16,412.68
  6. Step 6: Final answer
    x = 9,812.67

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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.