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Finding the Fourth Proportional to 13,662, 20,495.06 and 4,894.83

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Solution

The fourth proportional to 13,662, 20,495.06 and 4,894.83 is: 7,342.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,662 : 20,495.06 = 4,894.83 : x
  2. Step 2: Convert to fraction form
    13,662/20,495.06 = 4,894.83/x
  3. Step 3: Cross multiply
    13,662x = 20,495.06 × 4,894.83
  4. Step 4: Simplify right side
    13,662x = 100,319,834.54
  5. Step 5: Solve for x
    x = 100,319,834.54/13,662
  6. Step 6: Final answer
    x = 7,342.98

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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.