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Finding the Fourth Proportional to 20,762.88, 28,653.12 and 11,331.84

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Solution

The fourth proportional to 20,762.88, 28,653.12 and 11,331.84 is: 15,638.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,762.88 : 28,653.12 = 11,331.84 : x
  2. Step 2: Convert to fraction form
    20,762.88/28,653.12 = 11,331.84/x
  3. Step 3: Cross multiply
    20,762.88x = 28,653.12 × 11,331.84
  4. Step 4: Simplify right side
    20,762.88x = 324,692,571.34
  5. Step 5: Solve for x
    x = 324,692,571.34/20,762.88
  6. Step 6: Final answer
    x = 15,638.13

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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.