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Finding the Fourth Proportional to 21,292.22, 31,938.53 and 7,441.26

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Solution

The fourth proportional to 21,292.22, 31,938.53 and 7,441.26 is: 11,161.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,292.22 : 31,938.53 = 7,441.26 : x
  2. Step 2: Convert to fraction form
    21,292.22/31,938.53 = 7,441.26/x
  3. Step 3: Cross multiply
    21,292.22x = 31,938.53 × 7,441.26
  4. Step 4: Simplify right side
    21,292.22x = 237,662,905.75
  5. Step 5: Solve for x
    x = 237,662,905.75/21,292.22
  6. Step 6: Final answer
    x = 11,161.96

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