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Finding the Fourth Proportional to 20,692.14, 31,038.78 and 6,653.58

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Solution

The fourth proportional to 20,692.14, 31,038.78 and 6,653.58 is: 9,980.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,692.14 : 31,038.78 = 6,653.58 : x
  2. Step 2: Convert to fraction form
    20,692.14/31,038.78 = 6,653.58/x
  3. Step 3: Cross multiply
    20,692.14x = 31,038.78 × 6,653.58
  4. Step 4: Simplify right side
    20,692.14x = 206,519,169.26
  5. Step 5: Solve for x
    x = 206,519,169.26/20,692.14
  6. Step 6: Final answer
    x = 9,980.56

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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.