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Finding the Fourth Proportional to 14,668.16, 22,002.21 and 4,138.16

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Solution

The fourth proportional to 14,668.16, 22,002.21 and 4,138.16 is: 6,207.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,668.16 : 22,002.21 = 4,138.16 : x
  2. Step 2: Convert to fraction form
    14,668.16/22,002.21 = 4,138.16/x
  3. Step 3: Cross multiply
    14,668.16x = 22,002.21 × 4,138.16
  4. Step 4: Simplify right side
    14,668.16x = 91,048,555.32
  5. Step 5: Solve for x
    x = 91,048,555.32/14,668.16
  6. Step 6: Final answer
    x = 6,207.23

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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.