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Finding the Fourth Proportional to 21,586.50, 29,789.37 and 12,154.86

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Solution

The fourth proportional to 21,586.50, 29,789.37 and 12,154.86 is: 16,773.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,586.50 : 29,789.37 = 12,154.86 : x
  2. Step 2: Convert to fraction form
    21,586.50/29,789.37 = 12,154.86/x
  3. Step 3: Cross multiply
    21,586.50x = 29,789.37 × 12,154.86
  4. Step 4: Simplify right side
    21,586.50x = 362,085,621.84
  5. Step 5: Solve for x
    x = 362,085,621.84/21,586.50
  6. Step 6: Final answer
    x = 16,773.71

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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.