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Finding the Fourth Proportional to 21,687.64, 32,583.30 and 13,911.64

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Solution

The fourth proportional to 21,687.64, 32,583.30 and 13,911.64 is: 20,900.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,687.64 : 32,583.30 = 13,911.64 : x
  2. Step 2: Convert to fraction form
    21,687.64/32,583.30 = 13,911.64/x
  3. Step 3: Cross multiply
    21,687.64x = 32,583.30 × 13,911.64
  4. Step 4: Simplify right side
    21,687.64x = 453,287,139.61
  5. Step 5: Solve for x
    x = 453,287,139.61/21,687.64
  6. Step 6: Final answer
    x = 20,900.71

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Why These Related Problems?

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