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Finding the Fourth Proportional to 15,817.14, 21,827.36 and 8,743.41

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Solution

The fourth proportional to 15,817.14, 21,827.36 and 8,743.41 is: 12,065.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,817.14 : 21,827.36 = 8,743.41 : x
  2. Step 2: Convert to fraction form
    15,817.14/21,827.36 = 8,743.41/x
  3. Step 3: Cross multiply
    15,817.14x = 21,827.36 × 8,743.41
  4. Step 4: Simplify right side
    15,817.14x = 190,845,513.98
  5. Step 5: Solve for x
    x = 190,845,513.98/15,817.14
  6. Step 6: Final answer
    x = 12,065.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.