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Finding the Fourth Proportional to 25,341, 34,970.58 and 14,163

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Solution

The fourth proportional to 25,341, 34,970.58 and 14,163 is: 19,544.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,341 : 34,970.58 = 14,163 : x
  2. Step 2: Convert to fraction form
    25,341/34,970.58 = 14,163/x
  3. Step 3: Cross multiply
    25,341x = 34,970.58 × 14,163
  4. Step 4: Simplify right side
    25,341x = 495,288,324.54
  5. Step 5: Solve for x
    x = 495,288,324.54/25,341
  6. Step 6: Final answer
    x = 19,544.94

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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.