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Finding the Fourth Proportional to 15,955.49, 23,933.24 and 7,180.15

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Solution

The fourth proportional to 15,955.49, 23,933.24 and 7,180.15 is: 10,770.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,955.49 : 23,933.24 = 7,180.15 : x
  2. Step 2: Convert to fraction form
    15,955.49/23,933.24 = 7,180.15/x
  3. Step 3: Cross multiply
    15,955.49x = 23,933.24 × 7,180.15
  4. Step 4: Simplify right side
    15,955.49x = 171,844,253.19
  5. Step 5: Solve for x
    x = 171,844,253.19/15,955.49
  6. Step 6: Final answer
    x = 10,770.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.