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Finding the Fourth Proportional to 13,632.75, 20,434.54 and 6,226.11

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Solution

The fourth proportional to 13,632.75, 20,434.54 and 6,226.11 is: 9,332.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,632.75 : 20,434.54 = 6,226.11 : x
  2. Step 2: Convert to fraction form
    13,632.75/20,434.54 = 6,226.11/x
  3. Step 3: Cross multiply
    13,632.75x = 20,434.54 × 6,226.11
  4. Step 4: Simplify right side
    13,632.75x = 127,227,693.84
  5. Step 5: Solve for x
    x = 127,227,693.84/13,632.75
  6. Step 6: Final answer
    x = 9,332.50

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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.