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Finding the Fourth Proportional to 13,578.24, 18,739.17 and 7,609.86

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Solution

The fourth proportional to 13,578.24, 18,739.17 and 7,609.86 is: 10,502.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,578.24 : 18,739.17 = 7,609.86 : x
  2. Step 2: Convert to fraction form
    13,578.24/18,739.17 = 7,609.86/x
  3. Step 3: Cross multiply
    13,578.24x = 18,739.17 × 7,609.86
  4. Step 4: Simplify right side
    13,578.24x = 142,602,460.22
  5. Step 5: Solve for x
    x = 142,602,460.22/13,578.24
  6. Step 6: Final answer
    x = 10,502.28

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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.