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Finding the Fourth Proportional to 15,728.21, 21,712.17 and 9,763.39

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Solution

The fourth proportional to 15,728.21, 21,712.17 and 9,763.39 is: 13,477.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,728.21 : 21,712.17 = 9,763.39 : x
  2. Step 2: Convert to fraction form
    15,728.21/21,712.17 = 9,763.39/x
  3. Step 3: Cross multiply
    15,728.21x = 21,712.17 × 9,763.39
  4. Step 4: Simplify right side
    15,728.21x = 211,984,334.64
  5. Step 5: Solve for x
    x = 211,984,334.64/15,728.21
  6. Step 6: Final answer
    x = 13,477.97

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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.