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Finding the Fourth Proportional to 15,784.30, 21,781.64 and 8,614.03

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Solution

The fourth proportional to 15,784.30, 21,781.64 and 8,614.03 is: 11,886.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,784.30 : 21,781.64 = 8,614.03 : x
  2. Step 2: Convert to fraction form
    15,784.30/21,781.64 = 8,614.03/x
  3. Step 3: Cross multiply
    15,784.30x = 21,781.64 × 8,614.03
  4. Step 4: Simplify right side
    15,784.30x = 187,627,736.83
  5. Step 5: Solve for x
    x = 187,627,736.83/15,784.30
  6. Step 6: Final answer
    x = 11,886.99

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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.