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Finding the Fourth Proportional to 12,574.62, 18,864.23 and 4,141.60

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Solution

The fourth proportional to 12,574.62, 18,864.23 and 4,141.60 is: 6,213.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,574.62 : 18,864.23 = 4,141.60 : x
  2. Step 2: Convert to fraction form
    12,574.62/18,864.23 = 4,141.60/x
  3. Step 3: Cross multiply
    12,574.62x = 18,864.23 × 4,141.60
  4. Step 4: Simplify right side
    12,574.62x = 78,128,094.97
  5. Step 5: Solve for x
    x = 78,128,094.97/12,574.62
  6. Step 6: Final answer
    x = 6,213.16

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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.