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Finding the Fourth Proportional to 16,530.36, 24,794.73 and 7,165.68

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Solution

The fourth proportional to 16,530.36, 24,794.73 and 7,165.68 is: 10,748.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,530.36 : 24,794.73 = 7,165.68 : x
  2. Step 2: Convert to fraction form
    16,530.36/24,794.73 = 7,165.68/x
  3. Step 3: Cross multiply
    16,530.36x = 24,794.73 × 7,165.68
  4. Step 4: Simplify right side
    16,530.36x = 177,671,100.87
  5. Step 5: Solve for x
    x = 177,671,100.87/16,530.36
  6. Step 6: Final answer
    x = 10,748.17

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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.