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Finding the Fourth Proportional to 14,652.62, 21,974.66 and 8,411.56

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Solution

The fourth proportional to 14,652.62, 21,974.66 and 8,411.56 is: 12,614.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,652.62 : 21,974.66 = 8,411.56 : x
  2. Step 2: Convert to fraction form
    14,652.62/21,974.66 = 8,411.56/x
  3. Step 3: Cross multiply
    14,652.62x = 21,974.66 × 8,411.56
  4. Step 4: Simplify right side
    14,652.62x = 184,841,171.07
  5. Step 5: Solve for x
    x = 184,841,171.07/14,652.62
  6. Step 6: Final answer
    x = 12,614.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.