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Finding the Fourth Proportional to 14,591.45, 21,852.09 and 8,332.50

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Solution

The fourth proportional to 14,591.45, 21,852.09 and 8,332.50 is: 12,478.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,591.45 : 21,852.09 = 8,332.50 : x
  2. Step 2: Convert to fraction form
    14,591.45/21,852.09 = 8,332.50/x
  3. Step 3: Cross multiply
    14,591.45x = 21,852.09 × 8,332.50
  4. Step 4: Simplify right side
    14,591.45x = 182,082,539.93
  5. Step 5: Solve for x
    x = 182,082,539.93/14,591.45
  6. Step 6: Final answer
    x = 12,478.71

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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.