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Finding the Fourth Proportional to 13,156.46, 19,737.95 and 3,796.25

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Solution

The fourth proportional to 13,156.46, 19,737.95 and 3,796.25 is: 5,695.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,156.46 : 19,737.95 = 3,796.25 : x
  2. Step 2: Convert to fraction form
    13,156.46/19,737.95 = 3,796.25/x
  3. Step 3: Cross multiply
    13,156.46x = 19,737.95 × 3,796.25
  4. Step 4: Simplify right side
    13,156.46x = 74,930,075.02
  5. Step 5: Solve for x
    x = 74,930,075.02/13,156.46
  6. Step 6: Final answer
    x = 5,695.31

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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.