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Finding the Fourth Proportional to 23,146.96, 34,713.27 and 8,354

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Solution

The fourth proportional to 23,146.96, 34,713.27 and 8,354 is: 12,528.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,146.96 : 34,713.27 = 8,354 : x
  2. Step 2: Convert to fraction form
    23,146.96/34,713.27 = 8,354/x
  3. Step 3: Cross multiply
    23,146.96x = 34,713.27 × 8,354
  4. Step 4: Simplify right side
    23,146.96x = 289,994,657.58
  5. Step 5: Solve for x
    x = 289,994,657.58/23,146.96
  6. Step 6: Final answer
    x = 12,528.41

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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.