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Finding the Fourth Proportional to 26,492, 39,738.72 and 8,024

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Solution

The fourth proportional to 26,492, 39,738.72 and 8,024 is: 12,036.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,492 : 39,738.72 = 8,024 : x
  2. Step 2: Convert to fraction form
    26,492/39,738.72 = 8,024/x
  3. Step 3: Cross multiply
    26,492x = 39,738.72 × 8,024
  4. Step 4: Simplify right side
    26,492x = 318,863,489.28
  5. Step 5: Solve for x
    x = 318,863,489.28/26,492
  6. Step 6: Final answer
    x = 12,036.22

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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.