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Finding the Fourth Proportional to 28,969.75, 39,978.26 and 15,721.75

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Solution

The fourth proportional to 28,969.75, 39,978.26 and 15,721.75 is: 21,696.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,969.75 : 39,978.26 = 15,721.75 : x
  2. Step 2: Convert to fraction form
    28,969.75/39,978.26 = 15,721.75/x
  3. Step 3: Cross multiply
    28,969.75x = 39,978.26 × 15,721.75
  4. Step 4: Simplify right side
    28,969.75x = 628,528,209.16
  5. Step 5: Solve for x
    x = 628,528,209.16/28,969.75
  6. Step 6: Final answer
    x = 21,696.02

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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.