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Finding the Fourth Proportional to 22,762.37, 31,412.36 and 13,202.66

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Solution

The fourth proportional to 22,762.37, 31,412.36 and 13,202.66 is: 18,219.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,762.37 : 31,412.36 = 13,202.66 : x
  2. Step 2: Convert to fraction form
    22,762.37/31,412.36 = 13,202.66/x
  3. Step 3: Cross multiply
    22,762.37x = 31,412.36 × 13,202.66
  4. Step 4: Simplify right side
    22,762.37x = 414,726,708.88
  5. Step 5: Solve for x
    x = 414,726,708.88/22,762.37
  6. Step 6: Final answer
    x = 18,219.84

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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.