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Finding the Fourth Proportional to 21,197.79, 31,774.82 and 7,153.07

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Solution

The fourth proportional to 21,197.79, 31,774.82 and 7,153.07 is: 10,722.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,197.79 : 31,774.82 = 7,153.07 : x
  2. Step 2: Convert to fraction form
    21,197.79/31,774.82 = 7,153.07/x
  3. Step 3: Cross multiply
    21,197.79x = 31,774.82 × 7,153.07
  4. Step 4: Simplify right side
    21,197.79x = 227,287,317.06
  5. Step 5: Solve for x
    x = 227,287,317.06/21,197.79
  6. Step 6: Final answer
    x = 10,722.22

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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.