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Finding the Fourth Proportional to 14,772.78, 20,379.87 and 9,730.53

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Solution

The fourth proportional to 14,772.78, 20,379.87 and 9,730.53 is: 13,423.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,772.78 : 20,379.87 = 9,730.53 : x
  2. Step 2: Convert to fraction form
    14,772.78/20,379.87 = 9,730.53/x
  3. Step 3: Cross multiply
    14,772.78x = 20,379.87 × 9,730.53
  4. Step 4: Simplify right side
    14,772.78x = 198,306,936.43
  5. Step 5: Solve for x
    x = 198,306,936.43/14,772.78
  6. Step 6: Final answer
    x = 13,423.81

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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.