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Finding the Fourth Proportional to 22,048.91, 30,417.32 and 13,091.32

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Solution

The fourth proportional to 22,048.91, 30,417.32 and 13,091.32 is: 18,059.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,048.91 : 30,417.32 = 13,091.32 : x
  2. Step 2: Convert to fraction form
    22,048.91/30,417.32 = 13,091.32/x
  3. Step 3: Cross multiply
    22,048.91x = 30,417.32 × 13,091.32
  4. Step 4: Simplify right side
    22,048.91x = 398,202,940.41
  5. Step 5: Solve for x
    x = 398,202,940.41/22,048.91
  6. Step 6: Final answer
    x = 18,059.98

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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.