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Finding the Fourth Proportional to 12,180.94, 16,809.71 and 6,875.64

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Solution

The fourth proportional to 12,180.94, 16,809.71 and 6,875.64 is: 9,488.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,180.94 : 16,809.71 = 6,875.64 : x
  2. Step 2: Convert to fraction form
    12,180.94/16,809.71 = 6,875.64/x
  3. Step 3: Cross multiply
    12,180.94x = 16,809.71 × 6,875.64
  4. Step 4: Simplify right side
    12,180.94x = 115,577,480.09
  5. Step 5: Solve for x
    x = 115,577,480.09/12,180.94
  6. Step 6: Final answer
    x = 9,488.39

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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.