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Finding the Fourth Proportional to 14,968.42, 22,469.04 and 6,209.50

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Solution

The fourth proportional to 14,968.42, 22,469.04 and 6,209.50 is: 9,321.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,968.42 : 22,469.04 = 6,209.50 : x
  2. Step 2: Convert to fraction form
    14,968.42/22,469.04 = 6,209.50/x
  3. Step 3: Cross multiply
    14,968.42x = 22,469.04 × 6,209.50
  4. Step 4: Simplify right side
    14,968.42x = 139,521,503.88
  5. Step 5: Solve for x
    x = 139,521,503.88/14,968.42
  6. Step 6: Final answer
    x = 9,321.06

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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.