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Finding the Fourth Proportional to 26,975.13, 40,469.52 and 9,444.50

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Solution

The fourth proportional to 26,975.13, 40,469.52 and 9,444.50 is: 14,169.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,975.13 : 40,469.52 = 9,444.50 : x
  2. Step 2: Convert to fraction form
    26,975.13/40,469.52 = 9,444.50/x
  3. Step 3: Cross multiply
    26,975.13x = 40,469.52 × 9,444.50
  4. Step 4: Simplify right side
    26,975.13x = 382,214,366.47
  5. Step 5: Solve for x
    x = 382,214,366.47/26,975.13
  6. Step 6: Final answer
    x = 14,169.14

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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.