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Finding the Fourth Proportional to 23,106.28, 34,659.42 and 7,525.48

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Solution

The fourth proportional to 23,106.28, 34,659.42 and 7,525.48 is: 11,288.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,106.28 : 34,659.42 = 7,525.48 : x
  2. Step 2: Convert to fraction form
    23,106.28/34,659.42 = 7,525.48/x
  3. Step 3: Cross multiply
    23,106.28x = 34,659.42 × 7,525.48
  4. Step 4: Simplify right side
    23,106.28x = 260,828,772.02
  5. Step 5: Solve for x
    x = 260,828,772.02/23,106.28
  6. Step 6: Final answer
    x = 11,288.22

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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.