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Finding the Fourth Proportional to 22,695.40, 31,320.26 and 13,741

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Solution

The fourth proportional to 22,695.40, 31,320.26 and 13,741 is: 18,962.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,695.40 : 31,320.26 = 13,741 : x
  2. Step 2: Convert to fraction form
    22,695.40/31,320.26 = 13,741/x
  3. Step 3: Cross multiply
    22,695.40x = 31,320.26 × 13,741
  4. Step 4: Simplify right side
    22,695.40x = 430,371,692.66
  5. Step 5: Solve for x
    x = 430,371,692.66/22,695.40
  6. Step 6: Final answer
    x = 18,962.95

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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.