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Finding the Fourth Proportional to 14,921.64, 22,384.54 and 6,601

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Solution

The fourth proportional to 14,921.64, 22,384.54 and 6,601 is: 9,902.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,921.64 : 22,384.54 = 6,601 : x
  2. Step 2: Convert to fraction form
    14,921.64/22,384.54 = 6,601/x
  3. Step 3: Cross multiply
    14,921.64x = 22,384.54 × 6,601
  4. Step 4: Simplify right side
    14,921.64x = 147,760,348.54
  5. Step 5: Solve for x
    x = 147,760,348.54/14,921.64
  6. Step 6: Final answer
    x = 9,902.42

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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.