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Finding the Fourth Proportional to 25,223, 34,808.82 and 14,045

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Solution

The fourth proportional to 25,223, 34,808.82 and 14,045 is: 19,382.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,223 : 34,808.82 = 14,045 : x
  2. Step 2: Convert to fraction form
    25,223/34,808.82 = 14,045/x
  3. Step 3: Cross multiply
    25,223x = 34,808.82 × 14,045
  4. Step 4: Simplify right side
    25,223x = 488,889,876.90
  5. Step 5: Solve for x
    x = 488,889,876.90/25,223
  6. Step 6: Final answer
    x = 19,382.70

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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.