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Finding the Fourth Proportional to 22,477.96, 31,019.41 and 12,406.82

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Solution

The fourth proportional to 22,477.96, 31,019.41 and 12,406.82 is: 17,121.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,477.96 : 31,019.41 = 12,406.82 : x
  2. Step 2: Convert to fraction form
    22,477.96/31,019.41 = 12,406.82/x
  3. Step 3: Cross multiply
    22,477.96x = 31,019.41 × 12,406.82
  4. Step 4: Simplify right side
    22,477.96x = 384,852,201.48
  5. Step 5: Solve for x
    x = 384,852,201.48/22,477.96
  6. Step 6: Final answer
    x = 17,121.32

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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.