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Finding the Fourth Proportional to 26,970.94, 40,455.15 and 9,444.70

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Solution

The fourth proportional to 26,970.94, 40,455.15 and 9,444.70 is: 14,166.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,970.94 : 40,455.15 = 9,444.70 : x
  2. Step 2: Convert to fraction form
    26,970.94/40,455.15 = 9,444.70/x
  3. Step 3: Cross multiply
    26,970.94x = 40,455.15 × 9,444.70
  4. Step 4: Simplify right side
    26,970.94x = 382,086,755.21
  5. Step 5: Solve for x
    x = 382,086,755.21/26,970.94
  6. Step 6: Final answer
    x = 14,166.61

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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.