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Finding the Fourth Proportional to 25,692, 35,454.98 and 14,514

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Solution

The fourth proportional to 25,692, 35,454.98 and 14,514 is: 20,029.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,692 : 35,454.98 = 14,514 : x
  2. Step 2: Convert to fraction form
    25,692/35,454.98 = 14,514/x
  3. Step 3: Cross multiply
    25,692x = 35,454.98 × 14,514
  4. Step 4: Simplify right side
    25,692x = 514,593,579.72
  5. Step 5: Solve for x
    x = 514,593,579.72/25,692
  6. Step 6: Final answer
    x = 20,029.33

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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.