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Finding the Fourth Proportional to 27,980.90, 38,620.24 and 17,378.54

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Solution

The fourth proportional to 27,980.90, 38,620.24 and 17,378.54 is: 23,986.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,980.90 : 38,620.24 = 17,378.54 : x
  2. Step 2: Convert to fraction form
    27,980.90/38,620.24 = 17,378.54/x
  3. Step 3: Cross multiply
    27,980.90x = 38,620.24 × 17,378.54
  4. Step 4: Simplify right side
    27,980.90x = 671,163,385.65
  5. Step 5: Solve for x
    x = 671,163,385.65/27,980.90
  6. Step 6: Final answer
    x = 23,986.48

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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.