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Finding the Fourth Proportional to 20,798.40, 31,175.52 and 9,692.16

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Solution

The fourth proportional to 20,798.40, 31,175.52 and 9,692.16 is: 14,527.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,798.40 : 31,175.52 = 9,692.16 : x
  2. Step 2: Convert to fraction form
    20,798.40/31,175.52 = 9,692.16/x
  3. Step 3: Cross multiply
    20,798.40x = 31,175.52 × 9,692.16
  4. Step 4: Simplify right side
    20,798.40x = 302,158,127.92
  5. Step 5: Solve for x
    x = 302,158,127.92/20,798.40
  6. Step 6: Final answer
    x = 14,527.95

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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.