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Finding the Fourth Proportional to 17,557.54, 24,231.06 and 9,600.96

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Solution

The fourth proportional to 17,557.54, 24,231.06 and 9,600.96 is: 13,250.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,557.54 : 24,231.06 = 9,600.96 : x
  2. Step 2: Convert to fraction form
    17,557.54/24,231.06 = 9,600.96/x
  3. Step 3: Cross multiply
    17,557.54x = 24,231.06 × 9,600.96
  4. Step 4: Simplify right side
    17,557.54x = 232,641,437.82
  5. Step 5: Solve for x
    x = 232,641,437.82/17,557.54
  6. Step 6: Final answer
    x = 13,250.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.