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Finding the Fourth Proportional to 14,687.16, 22,032 and 4,157.22

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Solution

The fourth proportional to 14,687.16, 22,032 and 4,157.22 is: 6,236.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,687.16 : 22,032 = 4,157.22 : x
  2. Step 2: Convert to fraction form
    14,687.16/22,032 = 4,157.22/x
  3. Step 3: Cross multiply
    14,687.16x = 22,032 × 4,157.22
  4. Step 4: Simplify right side
    14,687.16x = 91,591,871.04
  5. Step 5: Solve for x
    x = 91,591,871.04/14,687.16
  6. Step 6: Final answer
    x = 6,236.19

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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.