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Finding the Fourth Proportional to 14,004.88, 19,323.36 and 9,224.32

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Solution

The fourth proportional to 14,004.88, 19,323.36 and 9,224.32 is: 12,727.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,004.88 : 19,323.36 = 9,224.32 : x
  2. Step 2: Convert to fraction form
    14,004.88/19,323.36 = 9,224.32/x
  3. Step 3: Cross multiply
    14,004.88x = 19,323.36 × 9,224.32
  4. Step 4: Simplify right side
    14,004.88x = 178,244,856.12
  5. Step 5: Solve for x
    x = 178,244,856.12/14,004.88
  6. Step 6: Final answer
    x = 12,727.34

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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.