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Finding the Fourth Proportional to 13,176, 19,766.88 and 4,968

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Solution

The fourth proportional to 13,176, 19,766.88 and 4,968 is: 7,453.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,176 : 19,766.88 = 4,968 : x
  2. Step 2: Convert to fraction form
    13,176/19,766.88 = 4,968/x
  3. Step 3: Cross multiply
    13,176x = 19,766.88 × 4,968
  4. Step 4: Simplify right side
    13,176x = 98,201,859.84
  5. Step 5: Solve for x
    x = 98,201,859.84/13,176
  6. Step 6: Final answer
    x = 7,453.09

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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.