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Finding the Fourth Proportional to 23,182.34, 34,745.00 and 10,685.01

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Solution

The fourth proportional to 23,182.34, 34,745.00 and 10,685.01 is: 16,014.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,182.34 : 34,745.00 = 10,685.01 : x
  2. Step 2: Convert to fraction form
    23,182.34/34,745.00 = 10,685.01/x
  3. Step 3: Cross multiply
    23,182.34x = 34,745.00 × 10,685.01
  4. Step 4: Simplify right side
    23,182.34x = 371,250,619.02
  5. Step 5: Solve for x
    x = 371,250,619.02/23,182.34
  6. Step 6: Final answer
    x = 16,014.38

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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.