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Finding the Fourth Proportional to 22,965.02, 31,692.06 and 12,895.64

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Solution

The fourth proportional to 22,965.02, 31,692.06 and 12,895.64 is: 17,796.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,965.02 : 31,692.06 = 12,895.64 : x
  2. Step 2: Convert to fraction form
    22,965.02/31,692.06 = 12,895.64/x
  3. Step 3: Cross multiply
    22,965.02x = 31,692.06 × 12,895.64
  4. Step 4: Simplify right side
    22,965.02x = 408,689,396.62
  5. Step 5: Solve for x
    x = 408,689,396.62/22,965.02
  6. Step 6: Final answer
    x = 17,796.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.