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Finding the Fourth Proportional to 12,654.87, 18,989.16 and 5,264.43

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Solution

The fourth proportional to 12,654.87, 18,989.16 and 5,264.43 is: 7,899.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,654.87 : 18,989.16 = 5,264.43 : x
  2. Step 2: Convert to fraction form
    12,654.87/18,989.16 = 5,264.43/x
  3. Step 3: Cross multiply
    12,654.87x = 18,989.16 × 5,264.43
  4. Step 4: Simplify right side
    12,654.87x = 99,967,103.58
  5. Step 5: Solve for x
    x = 99,967,103.58/12,654.87
  6. Step 6: Final answer
    x = 7,899.50

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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.