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Finding the Fourth Proportional to 27,653.90, 38,162.39 and 15,716.93

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Solution

The fourth proportional to 27,653.90, 38,162.39 and 15,716.93 is: 21,689.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,653.90 : 38,162.39 = 15,716.93 : x
  2. Step 2: Convert to fraction form
    27,653.90/38,162.39 = 15,716.93/x
  3. Step 3: Cross multiply
    27,653.90x = 38,162.39 × 15,716.93
  4. Step 4: Simplify right side
    27,653.90x = 599,795,612.26
  5. Step 5: Solve for x
    x = 599,795,612.26/27,653.90
  6. Step 6: Final answer
    x = 21,689.37

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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.