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Finding the Fourth Proportional to 23,102.88, 34,641.36 and 13,745.76

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Solution

The fourth proportional to 23,102.88, 34,641.36 and 13,745.76 is: 20,610.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,102.88 : 34,641.36 = 13,745.76 : x
  2. Step 2: Convert to fraction form
    23,102.88/34,641.36 = 13,745.76/x
  3. Step 3: Cross multiply
    23,102.88x = 34,641.36 × 13,745.76
  4. Step 4: Simplify right side
    23,102.88x = 476,171,820.63
  5. Step 5: Solve for x
    x = 476,171,820.63/23,102.88
  6. Step 6: Final answer
    x = 20,610.93

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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.