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Finding the Fourth Proportional to 14,977.16, 22,469.05 and 4,448.04

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Solution

The fourth proportional to 14,977.16, 22,469.05 and 4,448.04 is: 6,673.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,977.16 : 22,469.05 = 4,448.04 : x
  2. Step 2: Convert to fraction form
    14,977.16/22,469.05 = 4,448.04/x
  3. Step 3: Cross multiply
    14,977.16x = 22,469.05 × 4,448.04
  4. Step 4: Simplify right side
    14,977.16x = 99,943,233.16
  5. Step 5: Solve for x
    x = 99,943,233.16/14,977.16
  6. Step 6: Final answer
    x = 6,673.04

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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.