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Finding the Fourth Proportional to 23,664, 32,656.32 and 13,729.92

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Solution

The fourth proportional to 23,664, 32,656.32 and 13,729.92 is: 18,947.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,664 : 32,656.32 = 13,729.92 : x
  2. Step 2: Convert to fraction form
    23,664/32,656.32 = 13,729.92/x
  3. Step 3: Cross multiply
    23,664x = 32,656.32 × 13,729.92
  4. Step 4: Simplify right side
    23,664x = 448,368,661.09
  5. Step 5: Solve for x
    x = 448,368,661.09/23,664
  6. Step 6: Final answer
    x = 18,947.29

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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.