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Finding the Fourth Proportional to 12,046.30, 18,064.96 and 4,146.62

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Solution

The fourth proportional to 12,046.30, 18,064.96 and 4,146.62 is: 6,218.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,046.30 : 18,064.96 = 4,146.62 : x
  2. Step 2: Convert to fraction form
    12,046.30/18,064.96 = 4,146.62/x
  3. Step 3: Cross multiply
    12,046.30x = 18,064.96 × 4,146.62
  4. Step 4: Simplify right side
    12,046.30x = 74,908,423.74
  5. Step 5: Solve for x
    x = 74,908,423.74/12,046.30
  6. Step 6: Final answer
    x = 6,218.38

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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.