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Finding the Fourth Proportional to 12,497.74, 18,740.40 and 4,174.90

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Solution

The fourth proportional to 12,497.74, 18,740.40 and 4,174.90 is: 6,260.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,497.74 : 18,740.40 = 4,174.90 : x
  2. Step 2: Convert to fraction form
    12,497.74/18,740.40 = 4,174.90/x
  3. Step 3: Cross multiply
    12,497.74x = 18,740.40 × 4,174.90
  4. Step 4: Simplify right side
    12,497.74x = 78,239,295.96
  5. Step 5: Solve for x
    x = 78,239,295.96/12,497.74
  6. Step 6: Final answer
    x = 6,260.28

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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.