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Finding the Fourth Proportional to 20,953.80, 31,382.10 and 14,344.20

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Solution

The fourth proportional to 20,953.80, 31,382.10 and 14,344.20 is: 21,483.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,953.80 : 31,382.10 = 14,344.20 : x
  2. Step 2: Convert to fraction form
    20,953.80/31,382.10 = 14,344.20/x
  3. Step 3: Cross multiply
    20,953.80x = 31,382.10 × 14,344.20
  4. Step 4: Simplify right side
    20,953.80x = 450,151,118.82
  5. Step 5: Solve for x
    x = 450,151,118.82/20,953.80
  6. Step 6: Final answer
    x = 21,483.03

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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.