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Finding the Fourth Proportional to 14,986, 22,480.08 and 5,752

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Solution

The fourth proportional to 14,986, 22,480.08 and 5,752 is: 8,628.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,986 : 22,480.08 = 5,752 : x
  2. Step 2: Convert to fraction form
    14,986/22,480.08 = 5,752/x
  3. Step 3: Cross multiply
    14,986x = 22,480.08 × 5,752
  4. Step 4: Simplify right side
    14,986x = 129,305,420.16
  5. Step 5: Solve for x
    x = 129,305,420.16/14,986
  6. Step 6: Final answer
    x = 8,628.41

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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.