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Finding the Fourth Proportional to 14,252.16, 19,668.01 and 7,964.54

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Solution

The fourth proportional to 14,252.16, 19,668.01 and 7,964.54 is: 10,991.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,252.16 : 19,668.01 = 7,964.54 : x
  2. Step 2: Convert to fraction form
    14,252.16/19,668.01 = 7,964.54/x
  3. Step 3: Cross multiply
    14,252.16x = 19,668.01 × 7,964.54
  4. Step 4: Simplify right side
    14,252.16x = 156,646,554.03
  5. Step 5: Solve for x
    x = 156,646,554.03/14,252.16
  6. Step 6: Final answer
    x = 10,991.07

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Why These Related Problems?

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