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Finding the Fourth Proportional to 20,905.74, 31,352.13 and 7,051.50

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Solution

The fourth proportional to 20,905.74, 31,352.13 and 7,051.50 is: 10,575.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,905.74 : 31,352.13 = 7,051.50 : x
  2. Step 2: Convert to fraction form
    20,905.74/31,352.13 = 7,051.50/x
  3. Step 3: Cross multiply
    20,905.74x = 31,352.13 × 7,051.50
  4. Step 4: Simplify right side
    20,905.74x = 221,079,544.70
  5. Step 5: Solve for x
    x = 221,079,544.70/20,905.74
  6. Step 6: Final answer
    x = 10,575.06

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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.