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Finding the Fourth Proportional to 21,886, 30,166.37 and 15,504.42

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Solution

The fourth proportional to 21,886, 30,166.37 and 15,504.42 is: 21,370.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,886 : 30,166.37 = 15,504.42 : x
  2. Step 2: Convert to fraction form
    21,886/30,166.37 = 15,504.42/x
  3. Step 3: Cross multiply
    21,886x = 30,166.37 × 15,504.42
  4. Step 4: Simplify right side
    21,886x = 467,712,070.36
  5. Step 5: Solve for x
    x = 467,712,070.36/21,886
  6. Step 6: Final answer
    x = 21,370.38

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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.