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Finding the Fourth Proportional to 23,124.47, 31,911.80 and 12,514.10

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Solution

The fourth proportional to 23,124.47, 31,911.80 and 12,514.10 is: 17,269.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,124.47 : 31,911.80 = 12,514.10 : x
  2. Step 2: Convert to fraction form
    23,124.47/31,911.80 = 12,514.10/x
  3. Step 3: Cross multiply
    23,124.47x = 31,911.80 × 12,514.10
  4. Step 4: Simplify right side
    23,124.47x = 399,347,456.38
  5. Step 5: Solve for x
    x = 399,347,456.38/23,124.47
  6. Step 6: Final answer
    x = 17,269.47

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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.