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Finding the Fourth Proportional to 21,643.26, 32,460.78 and 7,599.98

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Solution

The fourth proportional to 21,643.26, 32,460.78 and 7,599.98 is: 11,398.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,643.26 : 32,460.78 = 7,599.98 : x
  2. Step 2: Convert to fraction form
    21,643.26/32,460.78 = 7,599.98/x
  3. Step 3: Cross multiply
    21,643.26x = 32,460.78 × 7,599.98
  4. Step 4: Simplify right side
    21,643.26x = 246,701,388.44
  5. Step 5: Solve for x
    x = 246,701,388.44/21,643.26
  6. Step 6: Final answer
    x = 11,398.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.