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Finding the Fourth Proportional to 23,205.88, 34,710 and 13,824.46

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Solution

The fourth proportional to 23,205.88, 34,710 and 13,824.46 is: 20,677.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,205.88 : 34,710 = 13,824.46 : x
  2. Step 2: Convert to fraction form
    23,205.88/34,710 = 13,824.46/x
  3. Step 3: Cross multiply
    23,205.88x = 34,710 × 13,824.46
  4. Step 4: Simplify right side
    23,205.88x = 479,847,006.60
  5. Step 5: Solve for x
    x = 479,847,006.60/23,205.88
  6. Step 6: Final answer
    x = 20,677.82

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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.