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Finding the Fourth Proportional to 17,762.70, 26,642.00 and 4,616.10

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Solution

The fourth proportional to 17,762.70, 26,642.00 and 4,616.10 is: 6,923.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,762.70 : 26,642.00 = 4,616.10 : x
  2. Step 2: Convert to fraction form
    17,762.70/26,642.00 = 4,616.10/x
  3. Step 3: Cross multiply
    17,762.70x = 26,642.00 × 4,616.10
  4. Step 4: Simplify right side
    17,762.70x = 122,982,046.84
  5. Step 5: Solve for x
    x = 122,982,046.84/17,762.70
  6. Step 6: Final answer
    x = 6,923.61

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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.