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Finding the Fourth Proportional to 22,663.49, 31,274.73 and 12,592.56

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Solution

The fourth proportional to 22,663.49, 31,274.73 and 12,592.56 is: 17,377.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,663.49 : 31,274.73 = 12,592.56 : x
  2. Step 2: Convert to fraction form
    22,663.49/31,274.73 = 12,592.56/x
  3. Step 3: Cross multiply
    22,663.49x = 31,274.73 × 12,592.56
  4. Step 4: Simplify right side
    22,663.49x = 393,828,914.01
  5. Step 5: Solve for x
    x = 393,828,914.01/22,663.49
  6. Step 6: Final answer
    x = 17,377.24

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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.