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Finding the Fourth Proportional to 14,946.69, 20,627.46 and 9,902.19

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Solution

The fourth proportional to 14,946.69, 20,627.46 and 9,902.19 is: 13,665.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,946.69 : 20,627.46 = 9,902.19 : x
  2. Step 2: Convert to fraction form
    14,946.69/20,627.46 = 9,902.19/x
  3. Step 3: Cross multiply
    14,946.69x = 20,627.46 × 9,902.19
  4. Step 4: Simplify right side
    14,946.69x = 204,257,028.14
  5. Step 5: Solve for x
    x = 204,257,028.14/14,946.69
  6. Step 6: Final answer
    x = 13,665.70

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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.