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Finding the Fourth Proportional to 22,586, 31,168.62 and 12,514.46

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Solution

The fourth proportional to 22,586, 31,168.62 and 12,514.46 is: 17,269.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,586 : 31,168.62 = 12,514.46 : x
  2. Step 2: Convert to fraction form
    22,586/31,168.62 = 12,514.46/x
  3. Step 3: Cross multiply
    22,586x = 31,168.62 × 12,514.46
  4. Step 4: Simplify right side
    22,586x = 390,058,448.25
  5. Step 5: Solve for x
    x = 390,058,448.25/22,586
  6. Step 6: Final answer
    x = 17,269.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.