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Finding the Fourth Proportional to 15,784.63, 21,782.81 and 8,711.03

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Solution

The fourth proportional to 15,784.63, 21,782.81 and 8,711.03 is: 12,021.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,784.63 : 21,782.81 = 8,711.03 : x
  2. Step 2: Convert to fraction form
    15,784.63/21,782.81 = 8,711.03/x
  3. Step 3: Cross multiply
    15,784.63x = 21,782.81 × 8,711.03
  4. Step 4: Simplify right side
    15,784.63x = 189,750,711.39
  5. Step 5: Solve for x
    x = 189,750,711.39/15,784.63
  6. Step 6: Final answer
    x = 12,021.23

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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.