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Finding the Fourth Proportional to 23,192.64, 32,004 and 13,763.52

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Solution

The fourth proportional to 23,192.64, 32,004 and 13,763.52 is: 18,992.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,192.64 : 32,004 = 13,763.52 : x
  2. Step 2: Convert to fraction form
    23,192.64/32,004 = 13,763.52/x
  3. Step 3: Cross multiply
    23,192.64x = 32,004 × 13,763.52
  4. Step 4: Simplify right side
    23,192.64x = 440,487,694.08
  5. Step 5: Solve for x
    x = 440,487,694.08/23,192.64
  6. Step 6: Final answer
    x = 18,992.56

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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.