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Finding the Fourth Proportional to 13,381.53, 20,053.05 and 7,525.77

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Solution

The fourth proportional to 13,381.53, 20,053.05 and 7,525.77 is: 11,277.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,381.53 : 20,053.05 = 7,525.77 : x
  2. Step 2: Convert to fraction form
    13,381.53/20,053.05 = 7,525.77/x
  3. Step 3: Cross multiply
    13,381.53x = 20,053.05 × 7,525.77
  4. Step 4: Simplify right side
    13,381.53x = 150,914,642.10
  5. Step 5: Solve for x
    x = 150,914,642.10/13,381.53
  6. Step 6: Final answer
    x = 11,277.83

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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.