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Finding the Fourth Proportional to 17,472, 24,111 and 9,514.36

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Solution

The fourth proportional to 17,472, 24,111 and 9,514.36 is: 13,129.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,472 : 24,111 = 9,514.36 : x
  2. Step 2: Convert to fraction form
    17,472/24,111 = 9,514.36/x
  3. Step 3: Cross multiply
    17,472x = 24,111 × 9,514.36
  4. Step 4: Simplify right side
    17,472x = 229,400,733.96
  5. Step 5: Solve for x
    x = 229,400,733.96/17,472
  6. Step 6: Final answer
    x = 13,129.62

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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.