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Finding the Fourth Proportional to 15,416, 21,265.44 and 9,450.56

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Solution

The fourth proportional to 15,416, 21,265.44 and 9,450.56 is: 13,036.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,416 : 21,265.44 = 9,450.56 : x
  2. Step 2: Convert to fraction form
    15,416/21,265.44 = 9,450.56/x
  3. Step 3: Cross multiply
    15,416x = 21,265.44 × 9,450.56
  4. Step 4: Simplify right side
    15,416x = 200,970,316.65
  5. Step 5: Solve for x
    x = 200,970,316.65/15,416
  6. Step 6: Final answer
    x = 13,036.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.