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Finding the Fourth Proportional to 20,907.68, 31,364.60 and 9,815.49

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Solution

The fourth proportional to 20,907.68, 31,364.60 and 9,815.49 is: 14,724.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,907.68 : 31,364.60 = 9,815.49 : x
  2. Step 2: Convert to fraction form
    20,907.68/31,364.60 = 9,815.49/x
  3. Step 3: Cross multiply
    20,907.68x = 31,364.60 × 9,815.49
  4. Step 4: Simplify right side
    20,907.68x = 307,858,868.58
  5. Step 5: Solve for x
    x = 307,858,868.58/20,907.68
  6. Step 6: Final answer
    x = 14,724.68

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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.