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Finding the Fourth Proportional to 13,003.86, 17,945.32 and 7,339.80

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Solution

The fourth proportional to 13,003.86, 17,945.32 and 7,339.80 is: 10,128.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,003.86 : 17,945.32 = 7,339.80 : x
  2. Step 2: Convert to fraction form
    13,003.86/17,945.32 = 7,339.80/x
  3. Step 3: Cross multiply
    13,003.86x = 17,945.32 × 7,339.80
  4. Step 4: Simplify right side
    13,003.86x = 131,715,041.39
  5. Step 5: Solve for x
    x = 131,715,041.39/13,003.86
  6. Step 6: Final answer
    x = 10,128.92

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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.