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Finding the Fourth Proportional to 15,784.19, 21,782.31 and 8,614.16

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Solution

The fourth proportional to 15,784.19, 21,782.31 and 8,614.16 is: 11,887.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,784.19 : 21,782.31 = 8,614.16 : x
  2. Step 2: Convert to fraction form
    15,784.19/21,782.31 = 8,614.16/x
  3. Step 3: Cross multiply
    15,784.19x = 21,782.31 × 8,614.16
  4. Step 4: Simplify right side
    15,784.19x = 187,636,260.44
  5. Step 5: Solve for x
    x = 187,636,260.44/15,784.19
  6. Step 6: Final answer
    x = 11,887.61

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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.