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Finding the Fourth Proportional to 14,952, 20,633.76 and 8,668.02

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Solution

The fourth proportional to 14,952, 20,633.76 and 8,668.02 is: 11,961.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,952 : 20,633.76 = 8,668.02 : x
  2. Step 2: Convert to fraction form
    14,952/20,633.76 = 8,668.02/x
  3. Step 3: Cross multiply
    14,952x = 20,633.76 × 8,668.02
  4. Step 4: Simplify right side
    14,952x = 178,853,844.36
  5. Step 5: Solve for x
    x = 178,853,844.36/14,952
  6. Step 6: Final answer
    x = 11,961.87

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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.