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Finding the Fourth Proportional to 13,812.32, 19,054.93 and 9,334.44

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Solution

The fourth proportional to 13,812.32, 19,054.93 and 9,334.44 is: 12,877.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,812.32 : 19,054.93 = 9,334.44 : x
  2. Step 2: Convert to fraction form
    13,812.32/19,054.93 = 9,334.44/x
  3. Step 3: Cross multiply
    13,812.32x = 19,054.93 × 9,334.44
  4. Step 4: Simplify right side
    13,812.32x = 177,867,100.79
  5. Step 5: Solve for x
    x = 177,867,100.79/13,812.32
  6. Step 6: Final answer
    x = 12,877.42

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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.