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Finding the Fourth Proportional to 15,296.26, 22,948.83 and 5,436.30

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Solution

The fourth proportional to 15,296.26, 22,948.83 and 5,436.30 is: 8,156.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,296.26 : 22,948.83 = 5,436.30 : x
  2. Step 2: Convert to fraction form
    15,296.26/22,948.83 = 5,436.30/x
  3. Step 3: Cross multiply
    15,296.26x = 22,948.83 × 5,436.30
  4. Step 4: Simplify right side
    15,296.26x = 124,756,724.53
  5. Step 5: Solve for x
    x = 124,756,724.53/15,296.26
  6. Step 6: Final answer
    x = 8,156.03

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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.