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Finding the Fourth Proportional to 26,977.12, 40,472.52 and 9,446.50

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Solution

The fourth proportional to 26,977.12, 40,472.52 and 9,446.50 is: 14,172.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,977.12 : 40,472.52 = 9,446.50 : x
  2. Step 2: Convert to fraction form
    26,977.12/40,472.52 = 9,446.50/x
  3. Step 3: Cross multiply
    26,977.12x = 40,472.52 × 9,446.50
  4. Step 4: Simplify right side
    26,977.12x = 382,323,660.18
  5. Step 5: Solve for x
    x = 382,323,660.18/26,977.12
  6. Step 6: Final answer
    x = 14,172.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.