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Finding the Fourth Proportional to 16,853, 25,279.50 and 4,541

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Solution

The fourth proportional to 16,853, 25,279.50 and 4,541 is: 6,811.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,853 : 25,279.50 = 4,541 : x
  2. Step 2: Convert to fraction form
    16,853/25,279.50 = 4,541/x
  3. Step 3: Cross multiply
    16,853x = 25,279.50 × 4,541
  4. Step 4: Simplify right side
    16,853x = 114,794,209.50
  5. Step 5: Solve for x
    x = 114,794,209.50/16,853
  6. Step 6: Final answer
    x = 6,811.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.