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Finding the Fourth Proportional to 23,706.20, 35,559.07 and 9,662.93

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Solution

The fourth proportional to 23,706.20, 35,559.07 and 9,662.93 is: 14,494.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,706.20 : 35,559.07 = 9,662.93 : x
  2. Step 2: Convert to fraction form
    23,706.20/35,559.07 = 9,662.93/x
  3. Step 3: Cross multiply
    23,706.20x = 35,559.07 × 9,662.93
  4. Step 4: Simplify right side
    23,706.20x = 343,604,804.28
  5. Step 5: Solve for x
    x = 343,604,804.28/23,706.20
  6. Step 6: Final answer
    x = 14,494.30

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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.