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Finding the Fourth Proportional to 13,425.84, 20,140.83 and 6,848.46

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Solution

The fourth proportional to 13,425.84, 20,140.83 and 6,848.46 is: 10,273.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,425.84 : 20,140.83 = 6,848.46 : x
  2. Step 2: Convert to fraction form
    13,425.84/20,140.83 = 6,848.46/x
  3. Step 3: Cross multiply
    13,425.84x = 20,140.83 × 6,848.46
  4. Step 4: Simplify right side
    13,425.84x = 137,933,668.62
  5. Step 5: Solve for x
    x = 137,933,668.62/13,425.84
  6. Step 6: Final answer
    x = 10,273.75

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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.