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Finding the Fourth Proportional to 15,794.63, 21,786.76 and 9,416.79

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Solution

The fourth proportional to 15,794.63, 21,786.76 and 9,416.79 is: 12,989.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,794.63 : 21,786.76 = 9,416.79 : x
  2. Step 2: Convert to fraction form
    15,794.63/21,786.76 = 9,416.79/x
  3. Step 3: Cross multiply
    15,794.63x = 21,786.76 × 9,416.79
  4. Step 4: Simplify right side
    15,794.63x = 205,161,343.70
  5. Step 5: Solve for x
    x = 205,161,343.70/15,794.63
  6. Step 6: Final answer
    x = 12,989.31

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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.