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Finding the Fourth Proportional to 23,491, 35,238.16 and 9,451.10

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Solution

The fourth proportional to 23,491, 35,238.16 and 9,451.10 is: 14,177.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,491 : 35,238.16 = 9,451.10 : x
  2. Step 2: Convert to fraction form
    23,491/35,238.16 = 9,451.10/x
  3. Step 3: Cross multiply
    23,491x = 35,238.16 × 9,451.10
  4. Step 4: Simplify right side
    23,491x = 333,039,373.98
  5. Step 5: Solve for x
    x = 333,039,373.98/23,491
  6. Step 6: Final answer
    x = 14,177.32

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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.