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Finding the Fourth Proportional to 26,470.64, 39,673.56 and 12,422

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Solution

The fourth proportional to 26,470.64, 39,673.56 and 12,422 is: 18,617.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,470.64 : 39,673.56 = 12,422 : x
  2. Step 2: Convert to fraction form
    26,470.64/39,673.56 = 12,422/x
  3. Step 3: Cross multiply
    26,470.64x = 39,673.56 × 12,422
  4. Step 4: Simplify right side
    26,470.64x = 492,824,962.32
  5. Step 5: Solve for x
    x = 492,824,962.32/26,470.64
  6. Step 6: Final answer
    x = 18,617.80

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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.