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Finding the Fourth Proportional to 21,064.82, 31,601.38 and 7,024.67

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Solution

The fourth proportional to 21,064.82, 31,601.38 and 7,024.67 is: 10,538.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,064.82 : 31,601.38 = 7,024.67 : x
  2. Step 2: Convert to fraction form
    21,064.82/31,601.38 = 7,024.67/x
  3. Step 3: Cross multiply
    21,064.82x = 31,601.38 × 7,024.67
  4. Step 4: Simplify right side
    21,064.82x = 221,989,090.48
  5. Step 5: Solve for x
    x = 221,989,090.48/21,064.82
  6. Step 6: Final answer
    x = 10,538.38

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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.