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Finding the Fourth Proportional to 13,602.44, 18,771.18 and 7,634

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Solution

The fourth proportional to 13,602.44, 18,771.18 and 7,634 is: 10,534.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,602.44 : 18,771.18 = 7,634 : x
  2. Step 2: Convert to fraction form
    13,602.44/18,771.18 = 7,634/x
  3. Step 3: Cross multiply
    13,602.44x = 18,771.18 × 7,634
  4. Step 4: Simplify right side
    13,602.44x = 143,299,188.12
  5. Step 5: Solve for x
    x = 143,299,188.12/13,602.44
  6. Step 6: Final answer
    x = 10,534.81

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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.