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Finding the Fourth Proportional to 12,134.39, 16,745.72 and 6,829.21

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Solution

The fourth proportional to 12,134.39, 16,745.72 and 6,829.21 is: 9,424.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,134.39 : 16,745.72 = 6,829.21 : x
  2. Step 2: Convert to fraction form
    12,134.39/16,745.72 = 6,829.21/x
  3. Step 3: Cross multiply
    12,134.39x = 16,745.72 × 6,829.21
  4. Step 4: Simplify right side
    12,134.39x = 114,360,038.48
  5. Step 5: Solve for x
    x = 114,360,038.48/12,134.39
  6. Step 6: Final answer
    x = 9,424.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.