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Finding the Fourth Proportional to 14,447.75, 21,632.49 and 7,507.67

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Solution

The fourth proportional to 14,447.75, 21,632.49 and 7,507.67 is: 11,241.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,447.75 : 21,632.49 = 7,507.67 : x
  2. Step 2: Convert to fraction form
    14,447.75/21,632.49 = 7,507.67/x
  3. Step 3: Cross multiply
    14,447.75x = 21,632.49 × 7,507.67
  4. Step 4: Simplify right side
    14,447.75x = 162,409,488.04
  5. Step 5: Solve for x
    x = 162,409,488.04/14,447.75
  6. Step 6: Final answer
    x = 11,241.17

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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.