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Finding the Fourth Proportional to 12,235.16, 18,352.74 and 3,468.98

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Solution

The fourth proportional to 12,235.16, 18,352.74 and 3,468.98 is: 5,203.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,235.16 : 18,352.74 = 3,468.98 : x
  2. Step 2: Convert to fraction form
    12,235.16/18,352.74 = 3,468.98/x
  3. Step 3: Cross multiply
    12,235.16x = 18,352.74 × 3,468.98
  4. Step 4: Simplify right side
    12,235.16x = 63,665,288.01
  5. Step 5: Solve for x
    x = 63,665,288.01/12,235.16
  6. Step 6: Final answer
    x = 5,203.47

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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.