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Finding the Fourth Proportional to 23,899.70, 32,976.64 and 13,824.47

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Solution

The fourth proportional to 23,899.70, 32,976.64 and 13,824.47 is: 19,074.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,899.70 : 32,976.64 = 13,824.47 : x
  2. Step 2: Convert to fraction form
    23,899.70/32,976.64 = 13,824.47/x
  3. Step 3: Cross multiply
    23,899.70x = 32,976.64 × 13,824.47
  4. Step 4: Simplify right side
    23,899.70x = 455,884,570.38
  5. Step 5: Solve for x
    x = 455,884,570.38/23,899.70
  6. Step 6: Final answer
    x = 19,074.91

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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.