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Finding the Fourth Proportional to 22,804.37, 34,206.68 and 10,309.77

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Solution

The fourth proportional to 22,804.37, 34,206.68 and 10,309.77 is: 15,464.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,804.37 : 34,206.68 = 10,309.77 : x
  2. Step 2: Convert to fraction form
    22,804.37/34,206.68 = 10,309.77/x
  3. Step 3: Cross multiply
    22,804.37x = 34,206.68 × 10,309.77
  4. Step 4: Simplify right side
    22,804.37x = 352,663,003.26
  5. Step 5: Solve for x
    x = 352,663,003.26/22,804.37
  6. Step 6: Final answer
    x = 15,464.71

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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.