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Finding the Fourth Proportional to 16,469.21, 24,686.10 and 7,113.63

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Solution

The fourth proportional to 16,469.21, 24,686.10 and 7,113.63 is: 10,662.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,469.21 : 24,686.10 = 7,113.63 : x
  2. Step 2: Convert to fraction form
    16,469.21/24,686.10 = 7,113.63/x
  3. Step 3: Cross multiply
    16,469.21x = 24,686.10 × 7,113.63
  4. Step 4: Simplify right side
    16,469.21x = 175,607,781.54
  5. Step 5: Solve for x
    x = 175,607,781.54/16,469.21
  6. Step 6: Final answer
    x = 10,662.79

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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.