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Finding the Fourth Proportional to 22,744.78, 31,384.04 and 12,670.94

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Solution

The fourth proportional to 22,744.78, 31,384.04 and 12,670.94 is: 17,483.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,744.78 : 31,384.04 = 12,670.94 : x
  2. Step 2: Convert to fraction form
    22,744.78/31,384.04 = 12,670.94/x
  3. Step 3: Cross multiply
    22,744.78x = 31,384.04 × 12,670.94
  4. Step 4: Simplify right side
    22,744.78x = 397,665,287.80
  5. Step 5: Solve for x
    x = 397,665,287.80/22,744.78
  6. Step 6: Final answer
    x = 17,483.80

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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.