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Finding the Fourth Proportional to 19,385.12, 26,749.60 and 11,000

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Solution

The fourth proportional to 19,385.12, 26,749.60 and 11,000 is: 15,178.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,385.12 : 26,749.60 = 11,000 : x
  2. Step 2: Convert to fraction form
    19,385.12/26,749.60 = 11,000/x
  3. Step 3: Cross multiply
    19,385.12x = 26,749.60 × 11,000
  4. Step 4: Simplify right side
    19,385.12x = 294,245,600
  5. Step 5: Solve for x
    x = 294,245,600/19,385.12
  6. Step 6: Final answer
    x = 15,178.94

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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.