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Finding the Fourth Proportional to 28,240, 38,972.16 and 18,321.28

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Solution

The fourth proportional to 28,240, 38,972.16 and 18,321.28 is: 25,283.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,240 : 38,972.16 = 18,321.28 : x
  2. Step 2: Convert to fraction form
    28,240/38,972.16 = 18,321.28/x
  3. Step 3: Cross multiply
    28,240x = 38,972.16 × 18,321.28
  4. Step 4: Simplify right side
    28,240x = 714,019,855.56
  5. Step 5: Solve for x
    x = 714,019,855.56/28,240
  6. Step 6: Final answer
    x = 25,283.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.