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Finding the Fourth Proportional to 20,564.60, 30,782.10 and 14,732.60

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Solution

The fourth proportional to 20,564.60, 30,782.10 and 14,732.60 is: 22,052.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,564.60 : 30,782.10 = 14,732.60 : x
  2. Step 2: Convert to fraction form
    20,564.60/30,782.10 = 14,732.60/x
  3. Step 3: Cross multiply
    20,564.60x = 30,782.10 × 14,732.60
  4. Step 4: Simplify right side
    20,564.60x = 453,500,366.46
  5. Step 5: Solve for x
    x = 453,500,366.46/20,564.60
  6. Step 6: Final answer
    x = 22,052.48

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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.