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Finding the Fourth Proportional to 26,774.16, 40,145 and 11,980.32

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Solution

The fourth proportional to 26,774.16, 40,145 and 11,980.32 is: 17,963.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,774.16 : 40,145 = 11,980.32 : x
  2. Step 2: Convert to fraction form
    26,774.16/40,145 = 11,980.32/x
  3. Step 3: Cross multiply
    26,774.16x = 40,145 × 11,980.32
  4. Step 4: Simplify right side
    26,774.16x = 480,949,946.40
  5. Step 5: Solve for x
    x = 480,949,946.40/26,774.16
  6. Step 6: Final answer
    x = 17,963.21

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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.