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Finding the Fourth Proportional to 14,591.78, 20,135.82 and 8,624.00

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Solution

The fourth proportional to 14,591.78, 20,135.82 and 8,624.00 is: 11,900.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,591.78 : 20,135.82 = 8,624.00 : x
  2. Step 2: Convert to fraction form
    14,591.78/20,135.82 = 8,624.00/x
  3. Step 3: Cross multiply
    14,591.78x = 20,135.82 × 8,624.00
  4. Step 4: Simplify right side
    14,591.78x = 173,651,362.02
  5. Step 5: Solve for x
    x = 173,651,362.02/14,591.78
  6. Step 6: Final answer
    x = 11,900.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.