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Finding the Fourth Proportional to 12,995.63, 19,494.66 and 4,228.19

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Solution

The fourth proportional to 12,995.63, 19,494.66 and 4,228.19 is: 6,342.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,995.63 : 19,494.66 = 4,228.19 : x
  2. Step 2: Convert to fraction form
    12,995.63/19,494.66 = 4,228.19/x
  3. Step 3: Cross multiply
    12,995.63x = 19,494.66 × 4,228.19
  4. Step 4: Simplify right side
    12,995.63x = 82,427,126.47
  5. Step 5: Solve for x
    x = 82,427,126.47/12,995.63
  6. Step 6: Final answer
    x = 6,342.68

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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.