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Finding the Fourth Proportional to 24,799.64, 34,223.76 and 13,469.24

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Solution

The fourth proportional to 24,799.64, 34,223.76 and 13,469.24 is: 18,587.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,799.64 : 34,223.76 = 13,469.24 : x
  2. Step 2: Convert to fraction form
    24,799.64/34,223.76 = 13,469.24/x
  3. Step 3: Cross multiply
    24,799.64x = 34,223.76 × 13,469.24
  4. Step 4: Simplify right side
    24,799.64x = 460,968,037.14
  5. Step 5: Solve for x
    x = 460,968,037.14/24,799.64
  6. Step 6: Final answer
    x = 18,587.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.