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Finding the Fourth Proportional to 23,617.60, 32,575.44 and 15,226

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Solution

The fourth proportional to 23,617.60, 32,575.44 and 15,226 is: 21,001.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,617.60 : 32,575.44 = 15,226 : x
  2. Step 2: Convert to fraction form
    23,617.60/32,575.44 = 15,226/x
  3. Step 3: Cross multiply
    23,617.60x = 32,575.44 × 15,226
  4. Step 4: Simplify right side
    23,617.60x = 495,993,649.44
  5. Step 5: Solve for x
    x = 495,993,649.44/23,617.60
  6. Step 6: Final answer
    x = 21,001.02

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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.