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Finding the Fourth Proportional to 20,569.20, 30,852.99 and 14,311.14

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Solution

The fourth proportional to 20,569.20, 30,852.99 and 14,311.14 is: 21,466.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,569.20 : 30,852.99 = 14,311.14 : x
  2. Step 2: Convert to fraction form
    20,569.20/30,852.99 = 14,311.14/x
  3. Step 3: Cross multiply
    20,569.20x = 30,852.99 × 14,311.14
  4. Step 4: Simplify right side
    20,569.20x = 441,541,459.31
  5. Step 5: Solve for x
    x = 441,541,459.31/20,569.20
  6. Step 6: Final answer
    x = 21,466.15

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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.