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Finding the Fourth Proportional to 16,338.20, 24,458.70 and 14,588.60

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Solution

The fourth proportional to 16,338.20, 24,458.70 and 14,588.60 is: 21,839.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,338.20 : 24,458.70 = 14,588.60 : x
  2. Step 2: Convert to fraction form
    16,338.20/24,458.70 = 14,588.60/x
  3. Step 3: Cross multiply
    16,338.20x = 24,458.70 × 14,588.60
  4. Step 4: Simplify right side
    16,338.20x = 356,818,190.82
  5. Step 5: Solve for x
    x = 356,818,190.82/16,338.20
  6. Step 6: Final answer
    x = 21,839.50

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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.