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Finding the Fourth Proportional to 16,097, 24,144.42 and 4,410.32

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Solution

The fourth proportional to 16,097, 24,144.42 and 4,410.32 is: 6,615.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,097 : 24,144.42 = 4,410.32 : x
  2. Step 2: Convert to fraction form
    16,097/24,144.42 = 4,410.32/x
  3. Step 3: Cross multiply
    16,097x = 24,144.42 × 4,410.32
  4. Step 4: Simplify right side
    16,097x = 106,484,618.41
  5. Step 5: Solve for x
    x = 106,484,618.41/16,097
  6. Step 6: Final answer
    x = 6,615.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.