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Finding the Fourth Proportional to 15,682.16, 21,643.10 and 8,968.41

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Solution

The fourth proportional to 15,682.16, 21,643.10 and 8,968.41 is: 12,377.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,682.16 : 21,643.10 = 8,968.41 : x
  2. Step 2: Convert to fraction form
    15,682.16/21,643.10 = 8,968.41/x
  3. Step 3: Cross multiply
    15,682.16x = 21,643.10 × 8,968.41
  4. Step 4: Simplify right side
    15,682.16x = 194,104,152.82
  5. Step 5: Solve for x
    x = 194,104,152.82/15,682.16
  6. Step 6: Final answer
    x = 12,377.39

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Why These Related Problems?

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