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Finding the Fourth Proportional to 23,749.70, 32,774.91 and 14,800.82

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Solution

The fourth proportional to 23,749.70, 32,774.91 and 14,800.82 is: 20,425.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,749.70 : 32,774.91 = 14,800.82 : x
  2. Step 2: Convert to fraction form
    23,749.70/32,774.91 = 14,800.82/x
  3. Step 3: Cross multiply
    23,749.70x = 32,774.91 × 14,800.82
  4. Step 4: Simplify right side
    23,749.70x = 485,095,543.43
  5. Step 5: Solve for x
    x = 485,095,543.43/23,749.70
  6. Step 6: Final answer
    x = 20,425.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.