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Finding the Fourth Proportional to 22,596.44, 31,181.94 and 12,524.78

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Solution

The fourth proportional to 22,596.44, 31,181.94 and 12,524.78 is: 17,283.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,596.44 : 31,181.94 = 12,524.78 : x
  2. Step 2: Convert to fraction form
    22,596.44/31,181.94 = 12,524.78/x
  3. Step 3: Cross multiply
    22,596.44x = 31,181.94 × 12,524.78
  4. Step 4: Simplify right side
    22,596.44x = 390,547,016.43
  5. Step 5: Solve for x
    x = 390,547,016.43/22,596.44
  6. Step 6: Final answer
    x = 17,283.57

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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.