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Finding the Fourth Proportional to 12,146.48, 16,762.20 and 6,841.39

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Solution

The fourth proportional to 12,146.48, 16,762.20 and 6,841.39 is: 9,441.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,146.48 : 16,762.20 = 6,841.39 : x
  2. Step 2: Convert to fraction form
    12,146.48/16,762.20 = 6,841.39/x
  3. Step 3: Cross multiply
    12,146.48x = 16,762.20 × 6,841.39
  4. Step 4: Simplify right side
    12,146.48x = 114,676,747.46
  5. Step 5: Solve for x
    x = 114,676,747.46/12,146.48
  6. Step 6: Final answer
    x = 9,441.15

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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.