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Finding the Fourth Proportional to 20,907.20, 31,368.98 and 9,212.22

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Solution

The fourth proportional to 20,907.20, 31,368.98 and 9,212.22 is: 13,821.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,907.20 : 31,368.98 = 9,212.22 : x
  2. Step 2: Convert to fraction form
    20,907.20/31,368.98 = 9,212.22/x
  3. Step 3: Cross multiply
    20,907.20x = 31,368.98 × 9,212.22
  4. Step 4: Simplify right side
    20,907.20x = 288,977,967.97
  5. Step 5: Solve for x
    x = 288,977,967.97/20,907.20
  6. Step 6: Final answer
    x = 13,821.93

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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.