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Finding the Fourth Proportional to 23,659.26, 32,655.48 and 14,226

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Solution

The fourth proportional to 23,659.26, 32,655.48 and 14,226 is: 19,635.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,659.26 : 32,655.48 = 14,226 : x
  2. Step 2: Convert to fraction form
    23,659.26/32,655.48 = 14,226/x
  3. Step 3: Cross multiply
    23,659.26x = 32,655.48 × 14,226
  4. Step 4: Simplify right side
    23,659.26x = 464,556,858.48
  5. Step 5: Solve for x
    x = 464,556,858.48/23,659.26
  6. Step 6: Final answer
    x = 19,635.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.