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Finding the Fourth Proportional to 13,833.95, 19,091.03 and 7,546.32

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Solution

The fourth proportional to 13,833.95, 19,091.03 and 7,546.32 is: 10,414.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,833.95 : 19,091.03 = 7,546.32 : x
  2. Step 2: Convert to fraction form
    13,833.95/19,091.03 = 7,546.32/x
  3. Step 3: Cross multiply
    13,833.95x = 19,091.03 × 7,546.32
  4. Step 4: Simplify right side
    13,833.95x = 144,066,983.78
  5. Step 5: Solve for x
    x = 144,066,983.78/13,833.95
  6. Step 6: Final answer
    x = 10,414.02

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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.