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Finding the Fourth Proportional to 23,698.38, 32,707.43 and 14,629.04

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Solution

The fourth proportional to 23,698.38, 32,707.43 and 14,629.04 is: 20,190.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,698.38 : 32,707.43 = 14,629.04 : x
  2. Step 2: Convert to fraction form
    23,698.38/32,707.43 = 14,629.04/x
  3. Step 3: Cross multiply
    23,698.38x = 32,707.43 × 14,629.04
  4. Step 4: Simplify right side
    23,698.38x = 478,478,065.08
  5. Step 5: Solve for x
    x = 478,478,065.08/23,698.38
  6. Step 6: Final answer
    x = 20,190.33

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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.