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Finding the Fourth Proportional to 13,602.22, 18,770.43 and 8,012.14

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Solution

The fourth proportional to 13,602.22, 18,770.43 and 8,012.14 is: 11,056.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,602.22 : 18,770.43 = 8,012.14 : x
  2. Step 2: Convert to fraction form
    13,602.22/18,770.43 = 8,012.14/x
  3. Step 3: Cross multiply
    13,602.22x = 18,770.43 × 8,012.14
  4. Step 4: Simplify right side
    13,602.22x = 150,391,313.02
  5. Step 5: Solve for x
    x = 150,391,313.02/13,602.22
  6. Step 6: Final answer
    x = 11,056.38

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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.