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Finding the Fourth Proportional to 12,468.24, 18,696.89 and 4,671.59

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Solution

The fourth proportional to 12,468.24, 18,696.89 and 4,671.59 is: 7,005.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,468.24 : 18,696.89 = 4,671.59 : x
  2. Step 2: Convert to fraction form
    12,468.24/18,696.89 = 4,671.59/x
  3. Step 3: Cross multiply
    12,468.24x = 18,696.89 × 4,671.59
  4. Step 4: Simplify right side
    12,468.24x = 87,344,087.51
  5. Step 5: Solve for x
    x = 87,344,087.51/12,468.24
  6. Step 6: Final answer
    x = 7,005.33

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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.