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Finding the Fourth Proportional to 23,758.44, 35,637.37 and 9,726

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Solution

The fourth proportional to 23,758.44, 35,637.37 and 9,726 is: 14,588.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,758.44 : 35,637.37 = 9,726 : x
  2. Step 2: Convert to fraction form
    23,758.44/35,637.37 = 9,726/x
  3. Step 3: Cross multiply
    23,758.44x = 35,637.37 × 9,726
  4. Step 4: Simplify right side
    23,758.44x = 346,609,060.62
  5. Step 5: Solve for x
    x = 346,609,060.62/23,758.44
  6. Step 6: Final answer
    x = 14,588.88

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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.