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Finding the Fourth Proportional to 16,475.82, 22,735.73 and 9,762.07

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Solution

The fourth proportional to 16,475.82, 22,735.73 and 9,762.07 is: 13,471.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,475.82 : 22,735.73 = 9,762.07 : x
  2. Step 2: Convert to fraction form
    16,475.82/22,735.73 = 9,762.07/x
  3. Step 3: Cross multiply
    16,475.82x = 22,735.73 × 9,762.07
  4. Step 4: Simplify right side
    16,475.82x = 221,947,755.33
  5. Step 5: Solve for x
    x = 221,947,755.33/16,475.82
  6. Step 6: Final answer
    x = 13,471.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.