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Finding the Fourth Proportional to 28,321.36, 39,083.28 and 15,746

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Solution

The fourth proportional to 28,321.36, 39,083.28 and 15,746 is: 21,729.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,321.36 : 39,083.28 = 15,746 : x
  2. Step 2: Convert to fraction form
    28,321.36/39,083.28 = 15,746/x
  3. Step 3: Cross multiply
    28,321.36x = 39,083.28 × 15,746
  4. Step 4: Simplify right side
    28,321.36x = 615,405,326.88
  5. Step 5: Solve for x
    x = 615,405,326.88/28,321.36
  6. Step 6: Final answer
    x = 21,729.37

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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.