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Finding the Fourth Proportional to 19,807.98, 27,332.40 and 11,847.30

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Solution

The fourth proportional to 19,807.98, 27,332.40 and 11,847.30 is: 16,347.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,807.98 : 27,332.40 = 11,847.30 : x
  2. Step 2: Convert to fraction form
    19,807.98/27,332.40 = 11,847.30/x
  3. Step 3: Cross multiply
    19,807.98x = 27,332.40 × 11,847.30
  4. Step 4: Simplify right side
    19,807.98x = 323,815,142.52
  5. Step 5: Solve for x
    x = 323,815,142.52/19,807.98
  6. Step 6: Final answer
    x = 16,347.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.