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Finding the Fourth Proportional to 25,285, 34,893.30 and 14,107

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Solution

The fourth proportional to 25,285, 34,893.30 and 14,107 is: 19,467.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,285 : 34,893.30 = 14,107 : x
  2. Step 2: Convert to fraction form
    25,285/34,893.30 = 14,107/x
  3. Step 3: Cross multiply
    25,285x = 34,893.30 × 14,107
  4. Step 4: Simplify right side
    25,285x = 492,239,783.10
  5. Step 5: Solve for x
    x = 492,239,783.10/25,285
  6. Step 6: Final answer
    x = 19,467.66

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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.