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Finding the Fourth Proportional to 13,894.06, 20,834 and 4,528.06

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Solution

The fourth proportional to 13,894.06, 20,834 and 4,528.06 is: 6,789.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,894.06 : 20,834 = 4,528.06 : x
  2. Step 2: Convert to fraction form
    13,894.06/20,834 = 4,528.06/x
  3. Step 3: Cross multiply
    13,894.06x = 20,834 × 4,528.06
  4. Step 4: Simplify right side
    13,894.06x = 94,337,602.04
  5. Step 5: Solve for x
    x = 94,337,602.04/13,894.06
  6. Step 6: Final answer
    x = 6,789.78

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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.