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Finding the Fourth Proportional to 21,855.88, 32,783.81 and 14,458.62

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Solution

The fourth proportional to 21,855.88, 32,783.81 and 14,458.62 is: 21,687.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,855.88 : 32,783.81 = 14,458.62 : x
  2. Step 2: Convert to fraction form
    21,855.88/32,783.81 = 14,458.62/x
  3. Step 3: Cross multiply
    21,855.88x = 32,783.81 × 14,458.62
  4. Step 4: Simplify right side
    21,855.88x = 474,008,517.18
  5. Step 5: Solve for x
    x = 474,008,517.18/21,855.88
  6. Step 6: Final answer
    x = 21,687.92

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Why These Related Problems?

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