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Finding the Fourth Proportional to 14,918.57, 20,587.97 and 8,204.57

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Solution

The fourth proportional to 14,918.57, 20,587.97 and 8,204.57 is: 11,322.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,918.57 : 20,587.97 = 8,204.57 : x
  2. Step 2: Convert to fraction form
    14,918.57/20,587.97 = 8,204.57/x
  3. Step 3: Cross multiply
    14,918.57x = 20,587.97 × 8,204.57
  4. Step 4: Simplify right side
    14,918.57x = 168,915,441.02
  5. Step 5: Solve for x
    x = 168,915,441.02/14,918.57
  6. Step 6: Final answer
    x = 11,322.50

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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.