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Finding the Fourth Proportional to 13,901.94, 20,854.62 and 4,542.90

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Solution

The fourth proportional to 13,901.94, 20,854.62 and 4,542.90 is: 6,814.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,901.94 : 20,854.62 = 4,542.90 : x
  2. Step 2: Convert to fraction form
    13,901.94/20,854.62 = 4,542.90/x
  3. Step 3: Cross multiply
    13,901.94x = 20,854.62 × 4,542.90
  4. Step 4: Simplify right side
    13,901.94x = 94,740,453.20
  5. Step 5: Solve for x
    x = 94,740,453.20/13,901.94
  6. Step 6: Final answer
    x = 6,814.91

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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.