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Finding the Fourth Proportional to 21,667.86, 32,506.65 and 7,816.86

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Solution

The fourth proportional to 21,667.86, 32,506.65 and 7,816.86 is: 11,727.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,667.86 : 32,506.65 = 7,816.86 : x
  2. Step 2: Convert to fraction form
    21,667.86/32,506.65 = 7,816.86/x
  3. Step 3: Cross multiply
    21,667.86x = 32,506.65 × 7,816.86
  4. Step 4: Simplify right side
    21,667.86x = 254,099,932.12
  5. Step 5: Solve for x
    x = 254,099,932.12/21,667.86
  6. Step 6: Final answer
    x = 11,727.04

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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.