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Finding the Fourth Proportional to 23,822.16, 35,730.51 and 6,293.37

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Solution

The fourth proportional to 23,822.16, 35,730.51 and 6,293.37 is: 9,439.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,822.16 : 35,730.51 = 6,293.37 : x
  2. Step 2: Convert to fraction form
    23,822.16/35,730.51 = 6,293.37/x
  3. Step 3: Cross multiply
    23,822.16x = 35,730.51 × 6,293.37
  4. Step 4: Simplify right side
    23,822.16x = 224,865,319.72
  5. Step 5: Solve for x
    x = 224,865,319.72/23,822.16
  6. Step 6: Final answer
    x = 9,439.33

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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.