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Finding the Fourth Proportional to 23,205.48, 34,812.17 and 9,158.16

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Solution

The fourth proportional to 23,205.48, 34,812.17 and 9,158.16 is: 13,738.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,205.48 : 34,812.17 = 9,158.16 : x
  2. Step 2: Convert to fraction form
    23,205.48/34,812.17 = 9,158.16/x
  3. Step 3: Cross multiply
    23,205.48x = 34,812.17 × 9,158.16
  4. Step 4: Simplify right side
    23,205.48x = 318,815,422.81
  5. Step 5: Solve for x
    x = 318,815,422.81/23,205.48
  6. Step 6: Final answer
    x = 13,738.80

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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.