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Finding the Fourth Proportional to 23,464, 32,383.02 and 13,393.88

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Solution

The fourth proportional to 23,464, 32,383.02 and 13,393.88 is: 18,485.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,464 : 32,383.02 = 13,393.88 : x
  2. Step 2: Convert to fraction form
    23,464/32,383.02 = 13,393.88/x
  3. Step 3: Cross multiply
    23,464x = 32,383.02 × 13,393.88
  4. Step 4: Simplify right side
    23,464x = 433,734,283.92
  5. Step 5: Solve for x
    x = 433,734,283.92/23,464
  6. Step 6: Final answer
    x = 18,485.10

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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.