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Finding the Fourth Proportional to 10,168.14, 14,032.26 and 7,189.32

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Solution

The fourth proportional to 10,168.14, 14,032.26 and 7,189.32 is: 9,921.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,168.14 : 14,032.26 = 7,189.32 : x
  2. Step 2: Convert to fraction form
    10,168.14/14,032.26 = 7,189.32/x
  3. Step 3: Cross multiply
    10,168.14x = 14,032.26 × 7,189.32
  4. Step 4: Simplify right side
    10,168.14x = 100,882,407.46
  5. Step 5: Solve for x
    x = 100,882,407.46/10,168.14
  6. Step 6: Final answer
    x = 9,921.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.