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Finding the Fourth Proportional to 11,814.65, 16,289.08 and 9,682.32

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Solution

The fourth proportional to 11,814.65, 16,289.08 and 9,682.32 is: 13,349.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,814.65 : 16,289.08 = 9,682.32 : x
  2. Step 2: Convert to fraction form
    11,814.65/16,289.08 = 9,682.32/x
  3. Step 3: Cross multiply
    11,814.65x = 16,289.08 × 9,682.32
  4. Step 4: Simplify right side
    11,814.65x = 157,716,060.86
  5. Step 5: Solve for x
    x = 157,716,060.86/11,814.65
  6. Step 6: Final answer
    x = 13,349.20

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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.