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Finding the Fourth Proportional to 14,234.16, 19,648.93 and 9,198.79

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Solution

The fourth proportional to 14,234.16, 19,648.93 and 9,198.79 is: 12,698.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,234.16 : 19,648.93 = 9,198.79 : x
  2. Step 2: Convert to fraction form
    14,234.16/19,648.93 = 9,198.79/x
  3. Step 3: Cross multiply
    14,234.16x = 19,648.93 × 9,198.79
  4. Step 4: Simplify right side
    14,234.16x = 180,746,380.79
  5. Step 5: Solve for x
    x = 180,746,380.79/14,234.16
  6. Step 6: Final answer
    x = 12,698.07

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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.