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Finding the Fourth Proportional to 23,010.64, 34,522.68 and 9,161.68

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Solution

The fourth proportional to 23,010.64, 34,522.68 and 9,161.68 is: 13,745.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,010.64 : 34,522.68 = 9,161.68 : x
  2. Step 2: Convert to fraction form
    23,010.64/34,522.68 = 9,161.68/x
  3. Step 3: Cross multiply
    23,010.64x = 34,522.68 × 9,161.68
  4. Step 4: Simplify right side
    23,010.64x = 316,285,746.90
  5. Step 5: Solve for x
    x = 316,285,746.90/23,010.64
  6. Step 6: Final answer
    x = 13,745.20

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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.