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Finding the Fourth Proportional to 21,516.17, 32,274.24 and 7,665.17

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Solution

The fourth proportional to 21,516.17, 32,274.24 and 7,665.17 is: 11,497.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,516.17 : 32,274.24 = 7,665.17 : x
  2. Step 2: Convert to fraction form
    21,516.17/32,274.24 = 7,665.17/x
  3. Step 3: Cross multiply
    21,516.17x = 32,274.24 × 7,665.17
  4. Step 4: Simplify right side
    21,516.17x = 247,387,374.85
  5. Step 5: Solve for x
    x = 247,387,374.85/21,516.17
  6. Step 6: Final answer
    x = 11,497.74

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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.