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Finding the Fourth Proportional to 27,980.68, 38,612.64 and 15,883.42

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Solution

The fourth proportional to 27,980.68, 38,612.64 and 15,883.42 is: 21,918.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,980.68 : 38,612.64 = 15,883.42 : x
  2. Step 2: Convert to fraction form
    27,980.68/38,612.64 = 15,883.42/x
  3. Step 3: Cross multiply
    27,980.68x = 38,612.64 × 15,883.42
  4. Step 4: Simplify right side
    27,980.68x = 613,300,778.43
  5. Step 5: Solve for x
    x = 613,300,778.43/27,980.68
  6. Step 6: Final answer
    x = 21,918.72

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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.