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Finding the Fourth Proportional to 29,517.60, 44,277.66 and 9,797.88

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Solution

The fourth proportional to 29,517.60, 44,277.66 and 9,797.88 is: 14,697.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,517.60 : 44,277.66 = 9,797.88 : x
  2. Step 2: Convert to fraction form
    29,517.60/44,277.66 = 9,797.88/x
  3. Step 3: Cross multiply
    29,517.60x = 44,277.66 × 9,797.88
  4. Step 4: Simplify right side
    29,517.60x = 433,827,199.36
  5. Step 5: Solve for x
    x = 433,827,199.36/29,517.60
  6. Step 6: Final answer
    x = 14,697.24

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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.