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Finding the Fourth Proportional to 12,468.13, 18,696.69 and 4,671.46

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Solution

The fourth proportional to 12,468.13, 18,696.69 and 4,671.46 is: 7,005.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,468.13 : 18,696.69 = 4,671.46 : x
  2. Step 2: Convert to fraction form
    12,468.13/18,696.69 = 4,671.46/x
  3. Step 3: Cross multiply
    12,468.13x = 18,696.69 × 4,671.46
  4. Step 4: Simplify right side
    12,468.13x = 87,340,839.47
  5. Step 5: Solve for x
    x = 87,340,839.47/12,468.13
  6. Step 6: Final answer
    x = 7,005.13

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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.