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Finding the Fourth Proportional to 29,811.07, 44,724.68 and 9,824.36

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Solution

The fourth proportional to 29,811.07, 44,724.68 and 9,824.36 is: 14,739.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,811.07 : 44,724.68 = 9,824.36 : x
  2. Step 2: Convert to fraction form
    29,811.07/44,724.68 = 9,824.36/x
  3. Step 3: Cross multiply
    29,811.07x = 44,724.68 × 9,824.36
  4. Step 4: Simplify right side
    29,811.07x = 439,391,121.30
  5. Step 5: Solve for x
    x = 439,391,121.30/29,811.07
  6. Step 6: Final answer
    x = 14,739.19

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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.