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Finding the Fourth Proportional to 13,096.72, 19,648.28 and 6,524.56

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Solution

The fourth proportional to 13,096.72, 19,648.28 and 6,524.56 is: 9,788.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,096.72 : 19,648.28 = 6,524.56 : x
  2. Step 2: Convert to fraction form
    13,096.72/19,648.28 = 6,524.56/x
  3. Step 3: Cross multiply
    13,096.72x = 19,648.28 × 6,524.56
  4. Step 4: Simplify right side
    13,096.72x = 128,196,381.76
  5. Step 5: Solve for x
    x = 128,196,381.76/13,096.72
  6. Step 6: Final answer
    x = 9,788.43

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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.