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Finding the Fourth Proportional to 23,615.56, 32,575.62 and 14,186.44

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Solution

The fourth proportional to 23,615.56, 32,575.62 and 14,186.44 is: 19,568.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,615.56 : 32,575.62 = 14,186.44 : x
  2. Step 2: Convert to fraction form
    23,615.56/32,575.62 = 14,186.44/x
  3. Step 3: Cross multiply
    23,615.56x = 32,575.62 × 14,186.44
  4. Step 4: Simplify right side
    23,615.56x = 462,132,078.59
  5. Step 5: Solve for x
    x = 462,132,078.59/23,615.56
  6. Step 6: Final answer
    x = 19,568.97

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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.