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Finding the Fourth Proportional to 22,586.55, 31,168.98 and 12,514.96

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Solution

The fourth proportional to 22,586.55, 31,168.98 and 12,514.96 is: 17,270.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,586.55 : 31,168.98 = 12,514.96 : x
  2. Step 2: Convert to fraction form
    22,586.55/31,168.98 = 12,514.96/x
  3. Step 3: Cross multiply
    22,586.55x = 31,168.98 × 12,514.96
  4. Step 4: Simplify right side
    22,586.55x = 390,078,576.90
  5. Step 5: Solve for x
    x = 390,078,576.90/22,586.55
  6. Step 6: Final answer
    x = 17,270.39

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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.