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Finding the Fourth Proportional to 26,969.40, 40,454.10 and 17,638.20

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Solution

The fourth proportional to 26,969.40, 40,454.10 and 17,638.20 is: 26,457.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,969.40 : 40,454.10 = 17,638.20 : x
  2. Step 2: Convert to fraction form
    26,969.40/40,454.10 = 17,638.20/x
  3. Step 3: Cross multiply
    26,969.40x = 40,454.10 × 17,638.20
  4. Step 4: Simplify right side
    26,969.40x = 713,537,506.62
  5. Step 5: Solve for x
    x = 713,537,506.62/26,969.40
  6. Step 6: Final answer
    x = 26,457.30

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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.