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Finding the Fourth Proportional to 13,933.69, 20,903.27 and 6,142.50

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Solution

The fourth proportional to 13,933.69, 20,903.27 and 6,142.50 is: 9,214.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,933.69 : 20,903.27 = 6,142.50 : x
  2. Step 2: Convert to fraction form
    13,933.69/20,903.27 = 6,142.50/x
  3. Step 3: Cross multiply
    13,933.69x = 20,903.27 × 6,142.50
  4. Step 4: Simplify right side
    13,933.69x = 128,398,305.26
  5. Step 5: Solve for x
    x = 128,398,305.26/13,933.69
  6. Step 6: Final answer
    x = 9,214.96

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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.