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Finding the Fourth Proportional to 12,774.84, 17,631.03 and 7,469.67

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Solution

The fourth proportional to 12,774.84, 17,631.03 and 7,469.67 is: 10,309.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,774.84 : 17,631.03 = 7,469.67 : x
  2. Step 2: Convert to fraction form
    12,774.84/17,631.03 = 7,469.67/x
  3. Step 3: Cross multiply
    12,774.84x = 17,631.03 × 7,469.67
  4. Step 4: Simplify right side
    12,774.84x = 131,697,975.86
  5. Step 5: Solve for x
    x = 131,697,975.86/12,774.84
  6. Step 6: Final answer
    x = 10,309.17

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