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Finding the Fourth Proportional to 23,328, 32,193.92 and 13,392.64

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Solution

The fourth proportional to 23,328, 32,193.92 and 13,392.64 is: 18,482.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,328 : 32,193.92 = 13,392.64 : x
  2. Step 2: Convert to fraction form
    23,328/32,193.92 = 13,392.64/x
  3. Step 3: Cross multiply
    23,328x = 32,193.92 × 13,392.64
  4. Step 4: Simplify right side
    23,328x = 431,161,580.75
  5. Step 5: Solve for x
    x = 431,161,580.75/23,328
  6. Step 6: Final answer
    x = 18,482.58

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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.