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Finding the Fourth Proportional to 13,015.42, 17,960.07 and 7,348.66

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Solution

The fourth proportional to 13,015.42, 17,960.07 and 7,348.66 is: 10,140.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,015.42 : 17,960.07 = 7,348.66 : x
  2. Step 2: Convert to fraction form
    13,015.42/17,960.07 = 7,348.66/x
  3. Step 3: Cross multiply
    13,015.42x = 17,960.07 × 7,348.66
  4. Step 4: Simplify right side
    13,015.42x = 131,982,448.01
  5. Step 5: Solve for x
    x = 131,982,448.01/13,015.42
  6. Step 6: Final answer
    x = 10,140.47

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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.