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Finding the Fourth Proportional to 14,997.57, 20,696.24 and 8,282.72

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Solution

The fourth proportional to 14,997.57, 20,696.24 and 8,282.72 is: 11,429.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,997.57 : 20,696.24 = 8,282.72 : x
  2. Step 2: Convert to fraction form
    14,997.57/20,696.24 = 8,282.72/x
  3. Step 3: Cross multiply
    14,997.57x = 20,696.24 × 8,282.72
  4. Step 4: Simplify right side
    14,997.57x = 171,421,036.78
  5. Step 5: Solve for x
    x = 171,421,036.78/14,997.57
  6. Step 6: Final answer
    x = 11,429.92

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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.