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Finding the Fourth Proportional to 12,866.69, 19,301.43 and 4,099.58

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Solution

The fourth proportional to 12,866.69, 19,301.43 and 4,099.58 is: 6,149.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,866.69 : 19,301.43 = 4,099.58 : x
  2. Step 2: Convert to fraction form
    12,866.69/19,301.43 = 4,099.58/x
  3. Step 3: Cross multiply
    12,866.69x = 19,301.43 × 4,099.58
  4. Step 4: Simplify right side
    12,866.69x = 79,127,756.40
  5. Step 5: Solve for x
    x = 79,127,756.40/12,866.69
  6. Step 6: Final answer
    x = 6,149.81

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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.