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Finding the Fourth Proportional to 12,220.47, 16,852.66 and 8,196.39

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Solution

The fourth proportional to 12,220.47, 16,852.66 and 8,196.39 is: 11,303.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,220.47 : 16,852.66 = 8,196.39 : x
  2. Step 2: Convert to fraction form
    12,220.47/16,852.66 = 8,196.39/x
  3. Step 3: Cross multiply
    12,220.47x = 16,852.66 × 8,196.39
  4. Step 4: Simplify right side
    12,220.47x = 138,130,953.41
  5. Step 5: Solve for x
    x = 138,130,953.41/12,220.47
  6. Step 6: Final answer
    x = 11,303.24

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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.