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Finding the Fourth Proportional to 23,106.42, 34,662.06 and 7,525.26

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Solution

The fourth proportional to 23,106.42, 34,662.06 and 7,525.26 is: 11,288.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,106.42 : 34,662.06 = 7,525.26 : x
  2. Step 2: Convert to fraction form
    23,106.42/34,662.06 = 7,525.26/x
  3. Step 3: Cross multiply
    23,106.42x = 34,662.06 × 7,525.26
  4. Step 4: Simplify right side
    23,106.42x = 260,841,013.64
  5. Step 5: Solve for x
    x = 260,841,013.64/23,106.42
  6. Step 6: Final answer
    x = 11,288.68

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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.