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Finding the Fourth Proportional to 16,315.74, 24,473.88 and 4,629.60

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Solution

The fourth proportional to 16,315.74, 24,473.88 and 4,629.60 is: 6,944.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,315.74 : 24,473.88 = 4,629.60 : x
  2. Step 2: Convert to fraction form
    16,315.74/24,473.88 = 4,629.60/x
  3. Step 3: Cross multiply
    16,315.74x = 24,473.88 × 4,629.60
  4. Step 4: Simplify right side
    16,315.74x = 113,304,274.85
  5. Step 5: Solve for x
    x = 113,304,274.85/16,315.74
  6. Step 6: Final answer
    x = 6,944.48

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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.