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Finding the Fourth Proportional to 16,504, 22,775.52 and 9,051.84

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Solution

The fourth proportional to 16,504, 22,775.52 and 9,051.84 is: 12,491.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,504 : 22,775.52 = 9,051.84 : x
  2. Step 2: Convert to fraction form
    16,504/22,775.52 = 9,051.84/x
  3. Step 3: Cross multiply
    16,504x = 22,775.52 × 9,051.84
  4. Step 4: Simplify right side
    16,504x = 206,160,362.96
  5. Step 5: Solve for x
    x = 206,160,362.96/16,504
  6. Step 6: Final answer
    x = 12,491.54

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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.