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Finding the Fourth Proportional to 13,832.28, 19,088.28 and 7,544.70

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Solution

The fourth proportional to 13,832.28, 19,088.28 and 7,544.70 is: 10,411.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,832.28 : 19,088.28 = 7,544.70 : x
  2. Step 2: Convert to fraction form
    13,832.28/19,088.28 = 7,544.70/x
  3. Step 3: Cross multiply
    13,832.28x = 19,088.28 × 7,544.70
  4. Step 4: Simplify right side
    13,832.28x = 144,015,346.12
  5. Step 5: Solve for x
    x = 144,015,346.12/13,832.28
  6. Step 6: Final answer
    x = 10,411.54

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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.