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Finding the Fourth Proportional to 16,822.16, 25,237.23 and 5,134.64

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Solution

The fourth proportional to 16,822.16, 25,237.23 and 5,134.64 is: 7,703.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,822.16 : 25,237.23 = 5,134.64 : x
  2. Step 2: Convert to fraction form
    16,822.16/25,237.23 = 5,134.64/x
  3. Step 3: Cross multiply
    16,822.16x = 25,237.23 × 5,134.64
  4. Step 4: Simplify right side
    16,822.16x = 129,584,090.65
  5. Step 5: Solve for x
    x = 129,584,090.65/16,822.16
  6. Step 6: Final answer
    x = 7,703.18

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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.