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Finding the Fourth Proportional to 21,040.56, 31,568.16 and 9,362.16

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Solution

The fourth proportional to 21,040.56, 31,568.16 and 9,362.16 is: 14,046.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,040.56 : 31,568.16 = 9,362.16 : x
  2. Step 2: Convert to fraction form
    21,040.56/31,568.16 = 9,362.16/x
  3. Step 3: Cross multiply
    21,040.56x = 31,568.16 × 9,362.16
  4. Step 4: Simplify right side
    21,040.56x = 295,546,164.83
  5. Step 5: Solve for x
    x = 295,546,164.83/21,040.56
  6. Step 6: Final answer
    x = 14,046.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.