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Finding the Fourth Proportional to 12,199.37, 16,835.46 and 6,894.07

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Solution

The fourth proportional to 12,199.37, 16,835.46 and 6,894.07 is: 9,514.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,199.37 : 16,835.46 = 6,894.07 : x
  2. Step 2: Convert to fraction form
    12,199.37/16,835.46 = 6,894.07/x
  3. Step 3: Cross multiply
    12,199.37x = 16,835.46 × 6,894.07
  4. Step 4: Simplify right side
    12,199.37x = 116,064,839.72
  5. Step 5: Solve for x
    x = 116,064,839.72/12,199.37
  6. Step 6: Final answer
    x = 9,514.00

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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.