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Finding the Fourth Proportional to 14,100.32, 19,450.32 and 9,132.32

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Solution

The fourth proportional to 14,100.32, 19,450.32 and 9,132.32 is: 12,597.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,100.32 : 19,450.32 = 9,132.32 : x
  2. Step 2: Convert to fraction form
    14,100.32/19,450.32 = 9,132.32/x
  3. Step 3: Cross multiply
    14,100.32x = 19,450.32 × 9,132.32
  4. Step 4: Simplify right side
    14,100.32x = 177,626,546.34
  5. Step 5: Solve for x
    x = 177,626,546.34/14,100.32
  6. Step 6: Final answer
    x = 12,597.34

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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.