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Finding the Fourth Proportional to 27,998.60, 42,017.10 and 12,427.40

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Solution

The fourth proportional to 27,998.60, 42,017.10 and 12,427.40 is: 18,649.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,998.60 : 42,017.10 = 12,427.40 : x
  2. Step 2: Convert to fraction form
    27,998.60/42,017.10 = 12,427.40/x
  3. Step 3: Cross multiply
    27,998.60x = 42,017.10 × 12,427.40
  4. Step 4: Simplify right side
    27,998.60x = 522,163,308.54
  5. Step 5: Solve for x
    x = 522,163,308.54/27,998.60
  6. Step 6: Final answer
    x = 18,649.62

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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.