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Finding the Fourth Proportional to 21,864.36, 32,782.41 and 12,000.99

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Solution

The fourth proportional to 21,864.36, 32,782.41 and 12,000.99 is: 17,993.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,864.36 : 32,782.41 = 12,000.99 : x
  2. Step 2: Convert to fraction form
    21,864.36/32,782.41 = 12,000.99/x
  3. Step 3: Cross multiply
    21,864.36x = 32,782.41 × 12,000.99
  4. Step 4: Simplify right side
    21,864.36x = 393,421,374.59
  5. Step 5: Solve for x
    x = 393,421,374.59/21,864.36
  6. Step 6: Final answer
    x = 17,993.73

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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.