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Finding the Fourth Proportional to 21,385.10, 32,016.90 and 20,221.40

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Solution

The fourth proportional to 21,385.10, 32,016.90 and 20,221.40 is: 30,274.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,385.10 : 32,016.90 = 20,221.40 : x
  2. Step 2: Convert to fraction form
    21,385.10/32,016.90 = 20,221.40/x
  3. Step 3: Cross multiply
    21,385.10x = 32,016.90 × 20,221.40
  4. Step 4: Simplify right side
    21,385.10x = 647,426,541.66
  5. Step 5: Solve for x
    x = 647,426,541.66/21,385.10
  6. Step 6: Final answer
    x = 30,274.66

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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.