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Finding the Fourth Proportional to 29,586, 44,380.44 and 8,809.68

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Solution

The fourth proportional to 29,586, 44,380.44 and 8,809.68 is: 13,214.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,586 : 44,380.44 = 8,809.68 : x
  2. Step 2: Convert to fraction form
    29,586/44,380.44 = 8,809.68/x
  3. Step 3: Cross multiply
    29,586x = 44,380.44 × 8,809.68
  4. Step 4: Simplify right side
    29,586x = 390,977,474.66
  5. Step 5: Solve for x
    x = 390,977,474.66/29,586
  6. Step 6: Final answer
    x = 13,214.95

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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.