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Finding the Fourth Proportional to 23,675.70, 35,509.67 and 9,635.16

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Solution

The fourth proportional to 23,675.70, 35,509.67 and 9,635.16 is: 14,451.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,675.70 : 35,509.67 = 9,635.16 : x
  2. Step 2: Convert to fraction form
    23,675.70/35,509.67 = 9,635.16/x
  3. Step 3: Cross multiply
    23,675.70x = 35,509.67 × 9,635.16
  4. Step 4: Simplify right side
    23,675.70x = 342,141,126.27
  5. Step 5: Solve for x
    x = 342,141,126.27/23,675.70
  6. Step 6: Final answer
    x = 14,451.15

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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.