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Finding the Fourth Proportional to 23,823.34, 35,737.83 and 6,293.32

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Solution

The fourth proportional to 23,823.34, 35,737.83 and 6,293.32 is: 9,440.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,823.34 : 35,737.83 = 6,293.32 : x
  2. Step 2: Convert to fraction form
    23,823.34/35,737.83 = 6,293.32/x
  3. Step 3: Cross multiply
    23,823.34x = 35,737.83 × 6,293.32
  4. Step 4: Simplify right side
    23,823.34x = 224,909,600.30
  5. Step 5: Solve for x
    x = 224,909,600.30/23,823.34
  6. Step 6: Final answer
    x = 9,440.72

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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.