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Finding the Fourth Proportional to 22,812.76, 31,479.82 and 12,740.42

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Solution

The fourth proportional to 22,812.76, 31,479.82 and 12,740.42 is: 17,580.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,812.76 : 31,479.82 = 12,740.42 : x
  2. Step 2: Convert to fraction form
    22,812.76/31,479.82 = 12,740.42/x
  3. Step 3: Cross multiply
    22,812.76x = 31,479.82 × 12,740.42
  4. Step 4: Simplify right side
    22,812.76x = 401,066,128.32
  5. Step 5: Solve for x
    x = 401,066,128.32/22,812.76
  6. Step 6: Final answer
    x = 17,580.78

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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.