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Finding the Fourth Proportional to 21,000.80, 31,468.80 and 18,214.40

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Solution

The fourth proportional to 21,000.80, 31,468.80 and 18,214.40 is: 27,293.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,000.80 : 31,468.80 = 18,214.40 : x
  2. Step 2: Convert to fraction form
    21,000.80/31,468.80 = 18,214.40/x
  3. Step 3: Cross multiply
    21,000.80x = 31,468.80 × 18,214.40
  4. Step 4: Simplify right side
    21,000.80x = 573,185,310.72
  5. Step 5: Solve for x
    x = 573,185,310.72/21,000.80
  6. Step 6: Final answer
    x = 27,293.50

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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.