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Finding the Fourth Proportional to 16,047, 24,080.22 and 6,813

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Solution

The fourth proportional to 16,047, 24,080.22 and 6,813 is: 10,223.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,047 : 24,080.22 = 6,813 : x
  2. Step 2: Convert to fraction form
    16,047/24,080.22 = 6,813/x
  3. Step 3: Cross multiply
    16,047x = 24,080.22 × 6,813
  4. Step 4: Simplify right side
    16,047x = 164,058,538.86
  5. Step 5: Solve for x
    x = 164,058,538.86/16,047
  6. Step 6: Final answer
    x = 10,223.63

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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.