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Finding the Fourth Proportional to 23,557.48, 35,342.70 and 9,716.20

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Solution

The fourth proportional to 23,557.48, 35,342.70 and 9,716.20 is: 14,576.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,557.48 : 35,342.70 = 9,716.20 : x
  2. Step 2: Convert to fraction form
    23,557.48/35,342.70 = 9,716.20/x
  3. Step 3: Cross multiply
    23,557.48x = 35,342.70 × 9,716.20
  4. Step 4: Simplify right side
    23,557.48x = 343,396,741.74
  5. Step 5: Solve for x
    x = 343,396,741.74/23,557.48
  6. Step 6: Final answer
    x = 14,576.97

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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.