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Finding the Fourth Proportional to 12,497.68, 18,707.91 and 6,861.25

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Solution

The fourth proportional to 12,497.68, 18,707.91 and 6,861.25 is: 10,270.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,497.68 : 18,707.91 = 6,861.25 : x
  2. Step 2: Convert to fraction form
    12,497.68/18,707.91 = 6,861.25/x
  3. Step 3: Cross multiply
    12,497.68x = 18,707.91 × 6,861.25
  4. Step 4: Simplify right side
    12,497.68x = 128,359,647.49
  5. Step 5: Solve for x
    x = 128,359,647.49/12,497.68
  6. Step 6: Final answer
    x = 10,270.68

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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.