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Finding the Fourth Proportional to 23,813.75, 35,713.66 and 7,172.15

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Solution

The fourth proportional to 23,813.75, 35,713.66 and 7,172.15 is: 10,756.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,813.75 : 35,713.66 = 7,172.15 : x
  2. Step 2: Convert to fraction form
    23,813.75/35,713.66 = 7,172.15/x
  3. Step 3: Cross multiply
    23,813.75x = 35,713.66 × 7,172.15
  4. Step 4: Simplify right side
    23,813.75x = 256,143,726.57
  5. Step 5: Solve for x
    x = 256,143,726.57/23,813.75
  6. Step 6: Final answer
    x = 10,756.13

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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.