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Finding the Fourth Proportional to 14,197.96, 19,590.66 and 7,909

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Solution

The fourth proportional to 14,197.96, 19,590.66 and 7,909 is: 10,913.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,197.96 : 19,590.66 = 7,909 : x
  2. Step 2: Convert to fraction form
    14,197.96/19,590.66 = 7,909/x
  3. Step 3: Cross multiply
    14,197.96x = 19,590.66 × 7,909
  4. Step 4: Simplify right side
    14,197.96x = 154,942,529.94
  5. Step 5: Solve for x
    x = 154,942,529.94/14,197.96
  6. Step 6: Final answer
    x = 10,913.01

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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.