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Finding the Fourth Proportional to 26,965.24, 40,466.08 and 9,435.22

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Solution

The fourth proportional to 26,965.24, 40,466.08 and 9,435.22 is: 14,159.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,965.24 : 40,466.08 = 9,435.22 : x
  2. Step 2: Convert to fraction form
    26,965.24/40,466.08 = 9,435.22/x
  3. Step 3: Cross multiply
    26,965.24x = 40,466.08 × 9,435.22
  4. Step 4: Simplify right side
    26,965.24x = 381,806,367.34
  5. Step 5: Solve for x
    x = 381,806,367.34/26,965.24
  6. Step 6: Final answer
    x = 14,159.21

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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.