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Finding the Fourth Proportional to 29,786.33, 44,685 and 9,796.95

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Solution

The fourth proportional to 29,786.33, 44,685 and 9,796.95 is: 14,697.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,786.33 : 44,685 = 9,796.95 : x
  2. Step 2: Convert to fraction form
    29,786.33/44,685 = 9,796.95/x
  3. Step 3: Cross multiply
    29,786.33x = 44,685 × 9,796.95
  4. Step 4: Simplify right side
    29,786.33x = 437,776,710.75
  5. Step 5: Solve for x
    x = 437,776,710.75/29,786.33
  6. Step 6: Final answer
    x = 14,697.23

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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.