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Finding the Fourth Proportional to 13,066.23, 18,031.78 and 7,400.86

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Solution

The fourth proportional to 13,066.23, 18,031.78 and 7,400.86 is: 10,213.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,066.23 : 18,031.78 = 7,400.86 : x
  2. Step 2: Convert to fraction form
    13,066.23/18,031.78 = 7,400.86/x
  3. Step 3: Cross multiply
    13,066.23x = 18,031.78 × 7,400.86
  4. Step 4: Simplify right side
    13,066.23x = 133,450,679.33
  5. Step 5: Solve for x
    x = 133,450,679.33/13,066.23
  6. Step 6: Final answer
    x = 10,213.40

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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.