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Finding the Fourth Proportional to 20,692.50, 31,058.18 and 10,838.85

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Solution

The fourth proportional to 20,692.50, 31,058.18 and 10,838.85 is: 16,268.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,692.50 : 31,058.18 = 10,838.85 : x
  2. Step 2: Convert to fraction form
    20,692.50/31,058.18 = 10,838.85/x
  3. Step 3: Cross multiply
    20,692.50x = 31,058.18 × 10,838.85
  4. Step 4: Simplify right side
    20,692.50x = 336,634,900.10
  5. Step 5: Solve for x
    x = 336,634,900.10/20,692.50
  6. Step 6: Final answer
    x = 16,268.45

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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.