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Finding the Fourth Proportional to 15,194.31, 20,970.14 and 8,907.27

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Solution

The fourth proportional to 15,194.31, 20,970.14 and 8,907.27 is: 12,293.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,194.31 : 20,970.14 = 8,907.27 : x
  2. Step 2: Convert to fraction form
    15,194.31/20,970.14 = 8,907.27/x
  3. Step 3: Cross multiply
    15,194.31x = 20,970.14 × 8,907.27
  4. Step 4: Simplify right side
    15,194.31x = 186,786,654.38
  5. Step 5: Solve for x
    x = 186,786,654.38/15,194.31
  6. Step 6: Final answer
    x = 12,293.20

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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.