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Finding the Fourth Proportional to 22,692.12, 31,306.16 and 13,130.26

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Solution

The fourth proportional to 22,692.12, 31,306.16 and 13,130.26 is: 18,114.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,692.12 : 31,306.16 = 13,130.26 : x
  2. Step 2: Convert to fraction form
    22,692.12/31,306.16 = 13,130.26/x
  3. Step 3: Cross multiply
    22,692.12x = 31,306.16 × 13,130.26
  4. Step 4: Simplify right side
    22,692.12x = 411,058,020.40
  5. Step 5: Solve for x
    x = 411,058,020.40/22,692.12
  6. Step 6: Final answer
    x = 18,114.57

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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.