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Finding the Fourth Proportional to 12,861.42, 19,294.28 and 4,099.02

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Solution

The fourth proportional to 12,861.42, 19,294.28 and 4,099.02 is: 6,149.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,861.42 : 19,294.28 = 4,099.02 : x
  2. Step 2: Convert to fraction form
    12,861.42/19,294.28 = 4,099.02/x
  3. Step 3: Cross multiply
    12,861.42x = 19,294.28 × 4,099.02
  4. Step 4: Simplify right side
    12,861.42x = 79,087,639.61
  5. Step 5: Solve for x
    x = 79,087,639.61/12,861.42
  6. Step 6: Final answer
    x = 6,149.22

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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.