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Finding the Fourth Proportional to 16,545.30, 24,817.93 and 6,684.57

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Solution

The fourth proportional to 16,545.30, 24,817.93 and 6,684.57 is: 10,026.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,545.30 : 24,817.93 = 6,684.57 : x
  2. Step 2: Convert to fraction form
    16,545.30/24,817.93 = 6,684.57/x
  3. Step 3: Cross multiply
    16,545.30x = 24,817.93 × 6,684.57
  4. Step 4: Simplify right side
    16,545.30x = 165,897,173.63
  5. Step 5: Solve for x
    x = 165,897,173.63/16,545.30
  6. Step 6: Final answer
    x = 10,026.85

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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.