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Finding the Fourth Proportional to 13,496.09, 20,205.96 and 7,156.52

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Solution

The fourth proportional to 13,496.09, 20,205.96 and 7,156.52 is: 10,714.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,496.09 : 20,205.96 = 7,156.52 : x
  2. Step 2: Convert to fraction form
    13,496.09/20,205.96 = 7,156.52/x
  3. Step 3: Cross multiply
    13,496.09x = 20,205.96 × 7,156.52
  4. Step 4: Simplify right side
    13,496.09x = 144,604,407.37
  5. Step 5: Solve for x
    x = 144,604,407.37/13,496.09
  6. Step 6: Final answer
    x = 10,714.54

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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.