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Finding the Fourth Proportional to 15,784.84, 21,782.82 and 8,711.32

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Solution

The fourth proportional to 15,784.84, 21,782.82 and 8,711.32 is: 12,021.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,784.84 : 21,782.82 = 8,711.32 : x
  2. Step 2: Convert to fraction form
    15,784.84/21,782.82 = 8,711.32/x
  3. Step 3: Cross multiply
    15,784.84x = 21,782.82 × 8,711.32
  4. Step 4: Simplify right side
    15,784.84x = 189,757,115.52
  5. Step 5: Solve for x
    x = 189,757,115.52/15,784.84
  6. Step 6: Final answer
    x = 12,021.48

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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.