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Finding the Fourth Proportional to 14,385.69, 21,576.99 and 3,856.76

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Solution

The fourth proportional to 14,385.69, 21,576.99 and 3,856.76 is: 5,784.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,385.69 : 21,576.99 = 3,856.76 : x
  2. Step 2: Convert to fraction form
    14,385.69/21,576.99 = 3,856.76/x
  3. Step 3: Cross multiply
    14,385.69x = 21,576.99 × 3,856.76
  4. Step 4: Simplify right side
    14,385.69x = 83,217,335.54
  5. Step 5: Solve for x
    x = 83,217,335.54/14,385.69
  6. Step 6: Final answer
    x = 5,784.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.