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Finding the Fourth Proportional to 12,200.36, 16,835.13 and 6,895.16

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Solution

The fourth proportional to 12,200.36, 16,835.13 and 6,895.16 is: 9,514.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,200.36 : 16,835.13 = 6,895.16 : x
  2. Step 2: Convert to fraction form
    12,200.36/16,835.13 = 6,895.16/x
  3. Step 3: Cross multiply
    12,200.36x = 16,835.13 × 6,895.16
  4. Step 4: Simplify right side
    12,200.36x = 116,080,830.80
  5. Step 5: Solve for x
    x = 116,080,830.80/12,200.36
  6. Step 6: Final answer
    x = 9,514.55

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