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Finding the Fourth Proportional to 14,324, 19,769.28 and 8,738.24

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Solution

The fourth proportional to 14,324, 19,769.28 and 8,738.24 is: 12,060.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,324 : 19,769.28 = 8,738.24 : x
  2. Step 2: Convert to fraction form
    14,324/19,769.28 = 8,738.24/x
  3. Step 3: Cross multiply
    14,324x = 19,769.28 × 8,738.24
  4. Step 4: Simplify right side
    14,324x = 172,748,713.27
  5. Step 5: Solve for x
    x = 172,748,713.27/14,324
  6. Step 6: Final answer
    x = 12,060.09

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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.