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Finding the Fourth Proportional to 12,065.22, 16,650 and 7,349.52

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Solution

The fourth proportional to 12,065.22, 16,650 and 7,349.52 is: 10,142.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,065.22 : 16,650 = 7,349.52 : x
  2. Step 2: Convert to fraction form
    12,065.22/16,650 = 7,349.52/x
  3. Step 3: Cross multiply
    12,065.22x = 16,650 × 7,349.52
  4. Step 4: Simplify right side
    12,065.22x = 122,369,508
  5. Step 5: Solve for x
    x = 122,369,508/12,065.22
  6. Step 6: Final answer
    x = 10,142.34

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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.