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Finding the Fourth Proportional to 21,153.01, 31,729.97 and 7,113.48

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Solution

The fourth proportional to 21,153.01, 31,729.97 and 7,113.48 is: 10,670.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,153.01 : 31,729.97 = 7,113.48 : x
  2. Step 2: Convert to fraction form
    21,153.01/31,729.97 = 7,113.48/x
  3. Step 3: Cross multiply
    21,153.01x = 31,729.97 × 7,113.48
  4. Step 4: Simplify right side
    21,153.01x = 225,710,471.43
  5. Step 5: Solve for x
    x = 225,710,471.43/21,153.01
  6. Step 6: Final answer
    x = 10,670.37

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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.