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Finding the Fourth Proportional to 12,468.32, 18,698.42 and 4,146.11

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Solution

The fourth proportional to 12,468.32, 18,698.42 and 4,146.11 is: 6,217.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,468.32 : 18,698.42 = 4,146.11 : x
  2. Step 2: Convert to fraction form
    12,468.32/18,698.42 = 4,146.11/x
  3. Step 3: Cross multiply
    12,468.32x = 18,698.42 × 4,146.11
  4. Step 4: Simplify right side
    12,468.32x = 77,525,706.15
  5. Step 5: Solve for x
    x = 77,525,706.15/12,468.32
  6. Step 6: Final answer
    x = 6,217.81

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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.