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Finding the Fourth Proportional to 21,049.29, 31,419.84 and 18,558.24

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Solution

The fourth proportional to 21,049.29, 31,419.84 and 18,558.24 is: 27,701.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,049.29 : 31,419.84 = 18,558.24 : x
  2. Step 2: Convert to fraction form
    21,049.29/31,419.84 = 18,558.24/x
  3. Step 3: Cross multiply
    21,049.29x = 31,419.84 × 18,558.24
  4. Step 4: Simplify right side
    21,049.29x = 583,096,931.48
  5. Step 5: Solve for x
    x = 583,096,931.48/21,049.29
  6. Step 6: Final answer
    x = 27,701.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.