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Finding the Fourth Proportional to 19,578.41, 27,004.23 and 13,826.60

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Solution

The fourth proportional to 19,578.41, 27,004.23 and 13,826.60 is: 19,070.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,578.41 : 27,004.23 = 13,826.60 : x
  2. Step 2: Convert to fraction form
    19,578.41/27,004.23 = 13,826.60/x
  3. Step 3: Cross multiply
    19,578.41x = 27,004.23 × 13,826.60
  4. Step 4: Simplify right side
    19,578.41x = 373,376,551.50
  5. Step 5: Solve for x
    x = 373,376,551.50/19,578.41
  6. Step 6: Final answer
    x = 19,070.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.