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Finding the Fourth Proportional to 15,230.64, 22,840.20 and 6,469.68

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Solution

The fourth proportional to 15,230.64, 22,840.20 and 6,469.68 is: 9,702.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,230.64 : 22,840.20 = 6,469.68 : x
  2. Step 2: Convert to fraction form
    15,230.64/22,840.20 = 6,469.68/x
  3. Step 3: Cross multiply
    15,230.64x = 22,840.20 × 6,469.68
  4. Step 4: Simplify right side
    15,230.64x = 147,768,785.14
  5. Step 5: Solve for x
    x = 147,768,785.14/15,230.64
  6. Step 6: Final answer
    x = 9,702.07

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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.