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Finding the Fourth Proportional to 12,235.77, 18,331.31 and 5,658.36

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Solution

The fourth proportional to 12,235.77, 18,331.31 and 5,658.36 is: 8,477.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,235.77 : 18,331.31 = 5,658.36 : x
  2. Step 2: Convert to fraction form
    12,235.77/18,331.31 = 5,658.36/x
  3. Step 3: Cross multiply
    12,235.77x = 18,331.31 × 5,658.36
  4. Step 4: Simplify right side
    12,235.77x = 103,725,122.96
  5. Step 5: Solve for x
    x = 103,725,122.96/12,235.77
  6. Step 6: Final answer
    x = 8,477.20

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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.