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Finding the Fourth Proportional to 15,625.84, 23,447.90 and 5,772

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Solution

The fourth proportional to 15,625.84, 23,447.90 and 5,772 is: 8,661.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,625.84 : 23,447.90 = 5,772 : x
  2. Step 2: Convert to fraction form
    15,625.84/23,447.90 = 5,772/x
  3. Step 3: Cross multiply
    15,625.84x = 23,447.90 × 5,772
  4. Step 4: Simplify right side
    15,625.84x = 135,341,278.80
  5. Step 5: Solve for x
    x = 135,341,278.80/15,625.84
  6. Step 6: Final answer
    x = 8,661.38

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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.