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Finding the Fourth Proportional to 13,003.40, 17,941.56 and 7,699.52

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Solution

The fourth proportional to 13,003.40, 17,941.56 and 7,699.52 is: 10,623.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,003.40 : 17,941.56 = 7,699.52 : x
  2. Step 2: Convert to fraction form
    13,003.40/17,941.56 = 7,699.52/x
  3. Step 3: Cross multiply
    13,003.40x = 17,941.56 × 7,699.52
  4. Step 4: Simplify right side
    13,003.40x = 138,141,400.05
  5. Step 5: Solve for x
    x = 138,141,400.05/13,003.40
  6. Step 6: Final answer
    x = 10,623.48

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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.