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Finding the Fourth Proportional to 23,764, 35,632.92 and 16,276.20

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Solution

The fourth proportional to 23,764, 35,632.92 and 16,276.20 is: 24,405.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,764 : 35,632.92 = 16,276.20 : x
  2. Step 2: Convert to fraction form
    23,764/35,632.92 = 16,276.20/x
  3. Step 3: Cross multiply
    23,764x = 35,632.92 × 16,276.20
  4. Step 4: Simplify right side
    23,764x = 579,968,532.50
  5. Step 5: Solve for x
    x = 579,968,532.50/23,764
  6. Step 6: Final answer
    x = 24,405.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.