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Finding the Fourth Proportional to 13,622.29, 18,796.38 and 7,654.21

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Solution

The fourth proportional to 13,622.29, 18,796.38 and 7,654.21 is: 10,561.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,622.29 : 18,796.38 = 7,654.21 : x
  2. Step 2: Convert to fraction form
    13,622.29/18,796.38 = 7,654.21/x
  3. Step 3: Cross multiply
    13,622.29x = 18,796.38 × 7,654.21
  4. Step 4: Simplify right side
    13,622.29x = 143,871,364.07
  5. Step 5: Solve for x
    x = 143,871,364.07/13,622.29
  6. Step 6: Final answer
    x = 10,561.47

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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.