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Finding the Fourth Proportional to 19,504, 29,256 and 5,653.12

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Solution

The fourth proportional to 19,504, 29,256 and 5,653.12 is: 8,479.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,504 : 29,256 = 5,653.12 : x
  2. Step 2: Convert to fraction form
    19,504/29,256 = 5,653.12/x
  3. Step 3: Cross multiply
    19,504x = 29,256 × 5,653.12
  4. Step 4: Simplify right side
    19,504x = 165,387,678.72
  5. Step 5: Solve for x
    x = 165,387,678.72/19,504
  6. Step 6: Final answer
    x = 8,479.68

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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.