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Finding the Fourth Proportional to 21,783.64, 32,661.42 and 9,311.80

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Solution

The fourth proportional to 21,783.64, 32,661.42 and 9,311.80 is: 13,961.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,783.64 : 32,661.42 = 9,311.80 : x
  2. Step 2: Convert to fraction form
    21,783.64/32,661.42 = 9,311.80/x
  3. Step 3: Cross multiply
    21,783.64x = 32,661.42 × 9,311.80
  4. Step 4: Simplify right side
    21,783.64x = 304,136,610.76
  5. Step 5: Solve for x
    x = 304,136,610.76/21,783.64
  6. Step 6: Final answer
    x = 13,961.70

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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.