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Finding the Fourth Proportional to 24,702.84, 34,092.77 and 14,094

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Solution

The fourth proportional to 24,702.84, 34,092.77 and 14,094 is: 19,451.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,702.84 : 34,092.77 = 14,094 : x
  2. Step 2: Convert to fraction form
    24,702.84/34,092.77 = 14,094/x
  3. Step 3: Cross multiply
    24,702.84x = 34,092.77 × 14,094
  4. Step 4: Simplify right side
    24,702.84x = 480,503,429.91
  5. Step 5: Solve for x
    x = 480,503,429.91/24,702.84
  6. Step 6: Final answer
    x = 19,451.34

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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.