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Finding the Fourth Proportional to 23,758.42, 35,614.14 and 11,256.48

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Solution

The fourth proportional to 23,758.42, 35,614.14 and 11,256.48 is: 16,873.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,758.42 : 35,614.14 = 11,256.48 : x
  2. Step 2: Convert to fraction form
    23,758.42/35,614.14 = 11,256.48/x
  3. Step 3: Cross multiply
    23,758.42x = 35,614.14 × 11,256.48
  4. Step 4: Simplify right side
    23,758.42x = 400,889,854.63
  5. Step 5: Solve for x
    x = 400,889,854.63/23,758.42
  6. Step 6: Final answer
    x = 16,873.59

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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.