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Finding the Fourth Proportional to 23,779, 32,816.70 and 14,347

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Solution

The fourth proportional to 23,779, 32,816.70 and 14,347 is: 19,799.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,779 : 32,816.70 = 14,347 : x
  2. Step 2: Convert to fraction form
    23,779/32,816.70 = 14,347/x
  3. Step 3: Cross multiply
    23,779x = 32,816.70 × 14,347
  4. Step 4: Simplify right side
    23,779x = 470,821,194.90
  5. Step 5: Solve for x
    x = 470,821,194.90/23,779
  6. Step 6: Final answer
    x = 19,799.87

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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.