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Finding the Fourth Proportional to 15,416.32, 21,274.64 and 8,342.88

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Solution

The fourth proportional to 15,416.32, 21,274.64 and 8,342.88 is: 11,513.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,416.32 : 21,274.64 = 8,342.88 : x
  2. Step 2: Convert to fraction form
    15,416.32/21,274.64 = 8,342.88/x
  3. Step 3: Cross multiply
    15,416.32x = 21,274.64 × 8,342.88
  4. Step 4: Simplify right side
    15,416.32x = 177,491,768.56
  5. Step 5: Solve for x
    x = 177,491,768.56/15,416.32
  6. Step 6: Final answer
    x = 11,513.24

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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.