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Finding the Fourth Proportional to 23,770.70, 32,793.27 and 14,334.02

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Solution

The fourth proportional to 23,770.70, 32,793.27 and 14,334.02 is: 19,774.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,770.70 : 32,793.27 = 14,334.02 : x
  2. Step 2: Convert to fraction form
    23,770.70/32,793.27 = 14,334.02/x
  3. Step 3: Cross multiply
    23,770.70x = 32,793.27 × 14,334.02
  4. Step 4: Simplify right side
    23,770.70x = 470,059,316.38
  5. Step 5: Solve for x
    x = 470,059,316.38/23,770.70
  6. Step 6: Final answer
    x = 19,774.74

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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.