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Finding the Fourth Proportional to 15,907.01, 21,945.38 and 9,191.40

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Solution

The fourth proportional to 15,907.01, 21,945.38 and 9,191.40 is: 12,680.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,907.01 : 21,945.38 = 9,191.40 : x
  2. Step 2: Convert to fraction form
    15,907.01/21,945.38 = 9,191.40/x
  3. Step 3: Cross multiply
    15,907.01x = 21,945.38 × 9,191.40
  4. Step 4: Simplify right side
    15,907.01x = 201,708,765.73
  5. Step 5: Solve for x
    x = 201,708,765.73/15,907.01
  6. Step 6: Final answer
    x = 12,680.50

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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.