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Finding the Fourth Proportional to 14,151.36, 21,199 and 9,698.08

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Solution

The fourth proportional to 14,151.36, 21,199 and 9,698.08 is: 14,527.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,151.36 : 21,199 = 9,698.08 : x
  2. Step 2: Convert to fraction form
    14,151.36/21,199 = 9,698.08/x
  3. Step 3: Cross multiply
    14,151.36x = 21,199 × 9,698.08
  4. Step 4: Simplify right side
    14,151.36x = 205,589,597.92
  5. Step 5: Solve for x
    x = 205,589,597.92/14,151.36
  6. Step 6: Final answer
    x = 14,527.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.