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Finding the Fourth Proportional to 23,089.82, 34,578.03 and 14,745.20

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Solution

The fourth proportional to 23,089.82, 34,578.03 and 14,745.20 is: 22,081.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,089.82 : 34,578.03 = 14,745.20 : x
  2. Step 2: Convert to fraction form
    23,089.82/34,578.03 = 14,745.20/x
  3. Step 3: Cross multiply
    23,089.82x = 34,578.03 × 14,745.20
  4. Step 4: Simplify right side
    23,089.82x = 509,859,967.96
  5. Step 5: Solve for x
    x = 509,859,967.96/23,089.82
  6. Step 6: Final answer
    x = 22,081.59

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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.