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Finding the Fourth Proportional to 22,842.72, 31,509.81 and 13,409.46

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Solution

The fourth proportional to 22,842.72, 31,509.81 and 13,409.46 is: 18,497.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,842.72 : 31,509.81 = 13,409.46 : x
  2. Step 2: Convert to fraction form
    22,842.72/31,509.81 = 13,409.46/x
  3. Step 3: Cross multiply
    22,842.72x = 31,509.81 × 13,409.46
  4. Step 4: Simplify right side
    22,842.72x = 422,529,536.80
  5. Step 5: Solve for x
    x = 422,529,536.80/22,842.72
  6. Step 6: Final answer
    x = 18,497.34

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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.