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Finding the Fourth Proportional to 23,774.52, 32,793.60 and 14,334

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Solution

The fourth proportional to 23,774.52, 32,793.60 and 14,334 is: 19,771.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,774.52 : 32,793.60 = 14,334 : x
  2. Step 2: Convert to fraction form
    23,774.52/32,793.60 = 14,334/x
  3. Step 3: Cross multiply
    23,774.52x = 32,793.60 × 14,334
  4. Step 4: Simplify right side
    23,774.52x = 470,063,462.40
  5. Step 5: Solve for x
    x = 470,063,462.40/23,774.52
  6. Step 6: Final answer
    x = 19,771.73

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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.