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Finding the Fourth Proportional to 12,197.79, 16,833.42 and 7,416.36

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Solution

The fourth proportional to 12,197.79, 16,833.42 and 7,416.36 is: 10,234.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,197.79 : 16,833.42 = 7,416.36 : x
  2. Step 2: Convert to fraction form
    12,197.79/16,833.42 = 7,416.36/x
  3. Step 3: Cross multiply
    12,197.79x = 16,833.42 × 7,416.36
  4. Step 4: Simplify right side
    12,197.79x = 124,842,702.75
  5. Step 5: Solve for x
    x = 124,842,702.75/12,197.79
  6. Step 6: Final answer
    x = 10,234.86

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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.