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Finding the Fourth Proportional to 13,441, 20,156.26 and 7,895.76

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Solution

The fourth proportional to 13,441, 20,156.26 and 7,895.76 is: 11,840.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,441 : 20,156.26 = 7,895.76 : x
  2. Step 2: Convert to fraction form
    13,441/20,156.26 = 7,895.76/x
  3. Step 3: Cross multiply
    13,441x = 20,156.26 × 7,895.76
  4. Step 4: Simplify right side
    13,441x = 159,148,991.46
  5. Step 5: Solve for x
    x = 159,148,991.46/13,441
  6. Step 6: Final answer
    x = 11,840.56

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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.