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Finding the Fourth Proportional to 21,735.40, 32,603.34 and 6,944.20

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Solution

The fourth proportional to 21,735.40, 32,603.34 and 6,944.20 is: 10,416.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,735.40 : 32,603.34 = 6,944.20 : x
  2. Step 2: Convert to fraction form
    21,735.40/32,603.34 = 6,944.20/x
  3. Step 3: Cross multiply
    21,735.40x = 32,603.34 × 6,944.20
  4. Step 4: Simplify right side
    21,735.40x = 226,404,113.63
  5. Step 5: Solve for x
    x = 226,404,113.63/21,735.40
  6. Step 6: Final answer
    x = 10,416.38

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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.