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Finding the Fourth Proportional to 22,164.89, 30,586.73 and 12,605.16

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Solution

The fourth proportional to 22,164.89, 30,586.73 and 12,605.16 is: 17,394.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,164.89 : 30,586.73 = 12,605.16 : x
  2. Step 2: Convert to fraction form
    22,164.89/30,586.73 = 12,605.16/x
  3. Step 3: Cross multiply
    22,164.89x = 30,586.73 × 12,605.16
  4. Step 4: Simplify right side
    22,164.89x = 385,550,625.53
  5. Step 5: Solve for x
    x = 385,550,625.53/22,164.89
  6. Step 6: Final answer
    x = 17,394.66

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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.