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Finding the Fourth Proportional to 26,772, 36,946.32 and 16,159.56

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Solution

The fourth proportional to 26,772, 36,946.32 and 16,159.56 is: 22,300.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,772 : 36,946.32 = 16,159.56 : x
  2. Step 2: Convert to fraction form
    26,772/36,946.32 = 16,159.56/x
  3. Step 3: Cross multiply
    26,772x = 36,946.32 × 16,159.56
  4. Step 4: Simplify right side
    26,772x = 597,036,274.82
  5. Step 5: Solve for x
    x = 597,036,274.82/26,772
  6. Step 6: Final answer
    x = 22,300.77

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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.