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Finding the Fourth Proportional to 21,152.50, 31,728.97 and 8,669.32

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Solution

The fourth proportional to 21,152.50, 31,728.97 and 8,669.32 is: 13,004.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,152.50 : 31,728.97 = 8,669.32 : x
  2. Step 2: Convert to fraction form
    21,152.50/31,728.97 = 8,669.32/x
  3. Step 3: Cross multiply
    21,152.50x = 31,728.97 × 8,669.32
  4. Step 4: Simplify right side
    21,152.50x = 275,068,594.20
  5. Step 5: Solve for x
    x = 275,068,594.20/21,152.50
  6. Step 6: Final answer
    x = 13,004.07

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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.