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Finding the Fourth Proportional to 15,521.02, 21,418.90 and 8,447.42

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Solution

The fourth proportional to 15,521.02, 21,418.90 and 8,447.42 is: 11,657.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,521.02 : 21,418.90 = 8,447.42 : x
  2. Step 2: Convert to fraction form
    15,521.02/21,418.90 = 8,447.42/x
  3. Step 3: Cross multiply
    15,521.02x = 21,418.90 × 8,447.42
  4. Step 4: Simplify right side
    15,521.02x = 180,934,476.67
  5. Step 5: Solve for x
    x = 180,934,476.67/15,521.02
  6. Step 6: Final answer
    x = 11,657.39

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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.