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Finding the Fourth Proportional to 13,251.44, 19,881.48 and 7,094

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Solution

The fourth proportional to 13,251.44, 19,881.48 and 7,094 is: 10,643.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,251.44 : 19,881.48 = 7,094 : x
  2. Step 2: Convert to fraction form
    13,251.44/19,881.48 = 7,094/x
  3. Step 3: Cross multiply
    13,251.44x = 19,881.48 × 7,094
  4. Step 4: Simplify right side
    13,251.44x = 141,039,219.12
  5. Step 5: Solve for x
    x = 141,039,219.12/13,251.44
  6. Step 6: Final answer
    x = 10,643.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.