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Finding the Fourth Proportional to 13,302.96, 19,954.24 and 4,544

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Solution

The fourth proportional to 13,302.96, 19,954.24 and 4,544 is: 6,815.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,302.96 : 19,954.24 = 4,544 : x
  2. Step 2: Convert to fraction form
    13,302.96/19,954.24 = 4,544/x
  3. Step 3: Cross multiply
    13,302.96x = 19,954.24 × 4,544
  4. Step 4: Simplify right side
    13,302.96x = 90,672,066.56
  5. Step 5: Solve for x
    x = 90,672,066.56/13,302.96
  6. Step 6: Final answer
    x = 6,815.93

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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.