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Finding the Fourth Proportional to 13,205.22, 18,223.05 and 7,155.34

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Solution

The fourth proportional to 13,205.22, 18,223.05 and 7,155.34 is: 9,874.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,205.22 : 18,223.05 = 7,155.34 : x
  2. Step 2: Convert to fraction form
    13,205.22/18,223.05 = 7,155.34/x
  3. Step 3: Cross multiply
    13,205.22x = 18,223.05 × 7,155.34
  4. Step 4: Simplify right side
    13,205.22x = 130,392,118.59
  5. Step 5: Solve for x
    x = 130,392,118.59/13,205.22
  6. Step 6: Final answer
    x = 9,874.29

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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.