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Finding the Fourth Proportional to 23,426.37, 32,328 and 12,815.79

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Solution

The fourth proportional to 23,426.37, 32,328 and 12,815.79 is: 17,685.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,426.37 : 32,328 = 12,815.79 : x
  2. Step 2: Convert to fraction form
    23,426.37/32,328 = 12,815.79/x
  3. Step 3: Cross multiply
    23,426.37x = 32,328 × 12,815.79
  4. Step 4: Simplify right side
    23,426.37x = 414,308,859.12
  5. Step 5: Solve for x
    x = 414,308,859.12/23,426.37
  6. Step 6: Final answer
    x = 17,685.58

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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.