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Finding the Fourth Proportional to 15,380.97, 21,223.26 and 8,665.07

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Solution

The fourth proportional to 15,380.97, 21,223.26 and 8,665.07 is: 11,956.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,380.97 : 21,223.26 = 8,665.07 : x
  2. Step 2: Convert to fraction form
    15,380.97/21,223.26 = 8,665.07/x
  3. Step 3: Cross multiply
    15,380.97x = 21,223.26 × 8,665.07
  4. Step 4: Simplify right side
    15,380.97x = 183,900,927.41
  5. Step 5: Solve for x
    x = 183,900,927.41/15,380.97
  6. Step 6: Final answer
    x = 11,956.39

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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.