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Finding the Fourth Proportional to 11,670.64, 17,505.74 and 3,350.70

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Solution

The fourth proportional to 11,670.64, 17,505.74 and 3,350.70 is: 5,025.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,670.64 : 17,505.74 = 3,350.70 : x
  2. Step 2: Convert to fraction form
    11,670.64/17,505.74 = 3,350.70/x
  3. Step 3: Cross multiply
    11,670.64x = 17,505.74 × 3,350.70
  4. Step 4: Simplify right side
    11,670.64x = 58,656,483.02
  5. Step 5: Solve for x
    x = 58,656,483.02/11,670.64
  6. Step 6: Final answer
    x = 5,025.99

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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.