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Finding the Fourth Proportional to 15,296.27, 22,935.16 and 6,861.23

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Solution

The fourth proportional to 15,296.27, 22,935.16 and 6,861.23 is: 10,287.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,296.27 : 22,935.16 = 6,861.23 : x
  2. Step 2: Convert to fraction form
    15,296.27/22,935.16 = 6,861.23/x
  3. Step 3: Cross multiply
    15,296.27x = 22,935.16 × 6,861.23
  4. Step 4: Simplify right side
    15,296.27x = 157,363,276.02
  5. Step 5: Solve for x
    x = 157,363,276.02/15,296.27
  6. Step 6: Final answer
    x = 10,287.69

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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.