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Finding the Fourth Proportional to 23,864.92, 35,797.74 and 7,225.72

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Solution

The fourth proportional to 23,864.92, 35,797.74 and 7,225.72 is: 10,838.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,864.92 : 35,797.74 = 7,225.72 : x
  2. Step 2: Convert to fraction form
    23,864.92/35,797.74 = 7,225.72/x
  3. Step 3: Cross multiply
    23,864.92x = 35,797.74 × 7,225.72
  4. Step 4: Simplify right side
    23,864.92x = 258,664,445.87
  5. Step 5: Solve for x
    x = 258,664,445.87/23,864.92
  6. Step 6: Final answer
    x = 10,838.69

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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.