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Finding the Fourth Proportional to 15,826.96, 23,737.74 and 5,296.24

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Solution

The fourth proportional to 15,826.96, 23,737.74 and 5,296.24 is: 7,943.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,826.96 : 23,737.74 = 5,296.24 : x
  2. Step 2: Convert to fraction form
    15,826.96/23,737.74 = 5,296.24/x
  3. Step 3: Cross multiply
    15,826.96x = 23,737.74 × 5,296.24
  4. Step 4: Simplify right side
    15,826.96x = 125,720,768.10
  5. Step 5: Solve for x
    x = 125,720,768.10/15,826.96
  6. Step 6: Final answer
    x = 7,943.46

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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.