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Finding the Fourth Proportional to 13,971.28, 19,280.36 and 8,003.12

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Solution

The fourth proportional to 13,971.28, 19,280.36 and 8,003.12 is: 11,044.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,971.28 : 19,280.36 = 8,003.12 : x
  2. Step 2: Convert to fraction form
    13,971.28/19,280.36 = 8,003.12/x
  3. Step 3: Cross multiply
    13,971.28x = 19,280.36 × 8,003.12
  4. Step 4: Simplify right side
    13,971.28x = 154,303,034.72
  5. Step 5: Solve for x
    x = 154,303,034.72/13,971.28
  6. Step 6: Final answer
    x = 11,044.30

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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.