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Finding the Fourth Proportional to 23,251.70, 32,087 and 12,641.24

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Solution

The fourth proportional to 23,251.70, 32,087 and 12,641.24 is: 17,444.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,251.70 : 32,087 = 12,641.24 : x
  2. Step 2: Convert to fraction form
    23,251.70/32,087 = 12,641.24/x
  3. Step 3: Cross multiply
    23,251.70x = 32,087 × 12,641.24
  4. Step 4: Simplify right side
    23,251.70x = 405,619,467.88
  5. Step 5: Solve for x
    x = 405,619,467.88/23,251.70
  6. Step 6: Final answer
    x = 17,444.72

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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.