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Finding the Fourth Proportional to 15,920.74, 21,980.46 and 10,257.49

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Solution

The fourth proportional to 15,920.74, 21,980.46 and 10,257.49 is: 14,161.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,920.74 : 21,980.46 = 10,257.49 : x
  2. Step 2: Convert to fraction form
    15,920.74/21,980.46 = 10,257.49/x
  3. Step 3: Cross multiply
    15,920.74x = 21,980.46 × 10,257.49
  4. Step 4: Simplify right side
    15,920.74x = 225,464,348.65
  5. Step 5: Solve for x
    x = 225,464,348.65/15,920.74
  6. Step 6: Final answer
    x = 14,161.68

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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.