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Finding the Fourth Proportional to 29,534.68, 44,291.20 and 9,809.56

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Solution

The fourth proportional to 29,534.68, 44,291.20 and 9,809.56 is: 14,710.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,534.68 : 44,291.20 = 9,809.56 : x
  2. Step 2: Convert to fraction form
    29,534.68/44,291.20 = 9,809.56/x
  3. Step 3: Cross multiply
    29,534.68x = 44,291.20 × 9,809.56
  4. Step 4: Simplify right side
    29,534.68x = 434,477,183.87
  5. Step 5: Solve for x
    x = 434,477,183.87/29,534.68
  6. Step 6: Final answer
    x = 14,710.75

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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.