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Finding the Fourth Proportional to 21,871.44, 32,812.36 and 7,080.35

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Solution

The fourth proportional to 21,871.44, 32,812.36 and 7,080.35 is: 10,622.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,871.44 : 32,812.36 = 7,080.35 : x
  2. Step 2: Convert to fraction form
    21,871.44/32,812.36 = 7,080.35/x
  3. Step 3: Cross multiply
    21,871.44x = 32,812.36 × 7,080.35
  4. Step 4: Simplify right side
    21,871.44x = 232,322,993.13
  5. Step 5: Solve for x
    x = 232,322,993.13/21,871.44
  6. Step 6: Final answer
    x = 10,622.21

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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.