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Finding the Fourth Proportional to 21,829.37, 32,746.82 and 7,037.96

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Solution

The fourth proportional to 21,829.37, 32,746.82 and 7,037.96 is: 10,557.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,829.37 : 32,746.82 = 7,037.96 : x
  2. Step 2: Convert to fraction form
    21,829.37/32,746.82 = 7,037.96/x
  3. Step 3: Cross multiply
    21,829.37x = 32,746.82 × 7,037.96
  4. Step 4: Simplify right side
    21,829.37x = 230,470,610.36
  5. Step 5: Solve for x
    x = 230,470,610.36/21,829.37
  6. Step 6: Final answer
    x = 10,557.82

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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.