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Finding the Fourth Proportional to 20,562.71, 30,825.60 and 7,405.88

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Solution

The fourth proportional to 20,562.71, 30,825.60 and 7,405.88 is: 11,102.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,562.71 : 30,825.60 = 7,405.88 : x
  2. Step 2: Convert to fraction form
    20,562.71/30,825.60 = 7,405.88/x
  3. Step 3: Cross multiply
    20,562.71x = 30,825.60 × 7,405.88
  4. Step 4: Simplify right side
    20,562.71x = 228,290,617.46
  5. Step 5: Solve for x
    x = 228,290,617.46/20,562.71
  6. Step 6: Final answer
    x = 11,102.17

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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.