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Finding the Fourth Proportional to 16,894.60, 25,344.30 and 5,206.60

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Solution

The fourth proportional to 16,894.60, 25,344.30 and 5,206.60 is: 7,810.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,894.60 : 25,344.30 = 5,206.60 : x
  2. Step 2: Convert to fraction form
    16,894.60/25,344.30 = 5,206.60/x
  3. Step 3: Cross multiply
    16,894.60x = 25,344.30 × 5,206.60
  4. Step 4: Simplify right side
    16,894.60x = 131,957,632.38
  5. Step 5: Solve for x
    x = 131,957,632.38/16,894.60
  6. Step 6: Final answer
    x = 7,810.64

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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.