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Finding the Fourth Proportional to 26,466.16, 39,705 and 8,935.24

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Solution

The fourth proportional to 26,466.16, 39,705 and 8,935.24 is: 13,404.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,466.16 : 39,705 = 8,935.24 : x
  2. Step 2: Convert to fraction form
    26,466.16/39,705 = 8,935.24/x
  3. Step 3: Cross multiply
    26,466.16x = 39,705 × 8,935.24
  4. Step 4: Simplify right side
    26,466.16x = 354,773,704.20
  5. Step 5: Solve for x
    x = 354,773,704.20/26,466.16
  6. Step 6: Final answer
    x = 13,404.80

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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.