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Finding the Fourth Proportional to 16,852, 23,178 and 14,752.48

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Solution

The fourth proportional to 16,852, 23,178 and 14,752.48 is: 20,290.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,852 : 23,178 = 14,752.48 : x
  2. Step 2: Convert to fraction form
    16,852/23,178 = 14,752.48/x
  3. Step 3: Cross multiply
    16,852x = 23,178 × 14,752.48
  4. Step 4: Simplify right side
    16,852x = 341,932,981.44
  5. Step 5: Solve for x
    x = 341,932,981.44/16,852
  6. Step 6: Final answer
    x = 20,290.35

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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.