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Finding the Fourth Proportional to 16,728.12, 23,073.84 and 10,750.32

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Solution

The fourth proportional to 16,728.12, 23,073.84 and 10,750.32 is: 14,828.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,728.12 : 23,073.84 = 10,750.32 : x
  2. Step 2: Convert to fraction form
    16,728.12/23,073.84 = 10,750.32/x
  3. Step 3: Cross multiply
    16,728.12x = 23,073.84 × 10,750.32
  4. Step 4: Simplify right side
    16,728.12x = 248,051,163.63
  5. Step 5: Solve for x
    x = 248,051,163.63/16,728.12
  6. Step 6: Final answer
    x = 14,828.39

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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.