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Finding the Fourth Proportional to 13,012.42, 17,955.78 and 7,347.48

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Solution

The fourth proportional to 13,012.42, 17,955.78 and 7,347.48 is: 10,138.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,012.42 : 17,955.78 = 7,347.48 : x
  2. Step 2: Convert to fraction form
    13,012.42/17,955.78 = 7,347.48/x
  3. Step 3: Cross multiply
    13,012.42x = 17,955.78 × 7,347.48
  4. Step 4: Simplify right side
    13,012.42x = 131,929,734.43
  5. Step 5: Solve for x
    x = 131,929,734.43/13,012.42
  6. Step 6: Final answer
    x = 10,138.75

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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.