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Finding the Fourth Proportional to 16,645.30, 24,967.72 and 4,165.28

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Solution

The fourth proportional to 16,645.30, 24,967.72 and 4,165.28 is: 6,247.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,645.30 : 24,967.72 = 4,165.28 : x
  2. Step 2: Convert to fraction form
    16,645.30/24,967.72 = 4,165.28/x
  3. Step 3: Cross multiply
    16,645.30x = 24,967.72 × 4,165.28
  4. Step 4: Simplify right side
    16,645.30x = 103,997,544.76
  5. Step 5: Solve for x
    x = 103,997,544.76/16,645.30
  6. Step 6: Final answer
    x = 6,247.86

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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.