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Finding the Fourth Proportional to 23,534.80, 35,311.44 and 10,378

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Solution

The fourth proportional to 23,534.80, 35,311.44 and 10,378 is: 15,571.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,534.80 : 35,311.44 = 10,378 : x
  2. Step 2: Convert to fraction form
    23,534.80/35,311.44 = 10,378/x
  3. Step 3: Cross multiply
    23,534.80x = 35,311.44 × 10,378
  4. Step 4: Simplify right side
    23,534.80x = 366,462,124.32
  5. Step 5: Solve for x
    x = 366,462,124.32/23,534.80
  6. Step 6: Final answer
    x = 15,571.07

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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.