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Finding the Fourth Proportional to 13,496.48, 20,228.16 and 7,658

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Solution

The fourth proportional to 13,496.48, 20,228.16 and 7,658 is: 11,477.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,496.48 : 20,228.16 = 7,658 : x
  2. Step 2: Convert to fraction form
    13,496.48/20,228.16 = 7,658/x
  3. Step 3: Cross multiply
    13,496.48x = 20,228.16 × 7,658
  4. Step 4: Simplify right side
    13,496.48x = 154,907,249.28
  5. Step 5: Solve for x
    x = 154,907,249.28/13,496.48
  6. Step 6: Final answer
    x = 11,477.60

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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.