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Finding the Fourth Proportional to 15,416, 21,273.90 and 8,342.26

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Solution

The fourth proportional to 15,416, 21,273.90 and 8,342.26 is: 11,512.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,416 : 21,273.90 = 8,342.26 : x
  2. Step 2: Convert to fraction form
    15,416/21,273.90 = 8,342.26/x
  3. Step 3: Cross multiply
    15,416x = 21,273.90 × 8,342.26
  4. Step 4: Simplify right side
    15,416x = 177,472,405.01
  5. Step 5: Solve for x
    x = 177,472,405.01/15,416
  6. Step 6: Final answer
    x = 11,512.22

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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.