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Finding the Fourth Proportional to 17,111.46, 23,613.96 and 10,038

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Solution

The fourth proportional to 17,111.46, 23,613.96 and 10,038 is: 13,852.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,111.46 : 23,613.96 = 10,038 : x
  2. Step 2: Convert to fraction form
    17,111.46/23,613.96 = 10,038/x
  3. Step 3: Cross multiply
    17,111.46x = 23,613.96 × 10,038
  4. Step 4: Simplify right side
    17,111.46x = 237,036,930.48
  5. Step 5: Solve for x
    x = 237,036,930.48/17,111.46
  6. Step 6: Final answer
    x = 13,852.53

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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.