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Finding the Fourth Proportional to 15,817.52, 21,827.98 and 8,743.80

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Solution

The fourth proportional to 15,817.52, 21,827.98 and 8,743.80 is: 12,066.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,817.52 : 21,827.98 = 8,743.80 : x
  2. Step 2: Convert to fraction form
    15,817.52/21,827.98 = 8,743.80/x
  3. Step 3: Cross multiply
    15,817.52x = 21,827.98 × 8,743.80
  4. Step 4: Simplify right side
    15,817.52x = 190,859,491.52
  5. Step 5: Solve for x
    x = 190,859,491.52/15,817.52
  6. Step 6: Final answer
    x = 12,066.33

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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.