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Finding the Fourth Proportional to 23,782.60, 35,673.88 and 8,199

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Solution

The fourth proportional to 23,782.60, 35,673.88 and 8,199 is: 12,298.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,782.60 : 35,673.88 = 8,199 : x
  2. Step 2: Convert to fraction form
    23,782.60/35,673.88 = 8,199/x
  3. Step 3: Cross multiply
    23,782.60x = 35,673.88 × 8,199
  4. Step 4: Simplify right side
    23,782.60x = 292,490,142.12
  5. Step 5: Solve for x
    x = 292,490,142.12/23,782.60
  6. Step 6: Final answer
    x = 12,298.49

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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.