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Finding the Fourth Proportional to 15,872.41, 23,808.82 and 4,185.53

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Solution

The fourth proportional to 15,872.41, 23,808.82 and 4,185.53 is: 6,278.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,872.41 : 23,808.82 = 4,185.53 : x
  2. Step 2: Convert to fraction form
    15,872.41/23,808.82 = 4,185.53/x
  3. Step 3: Cross multiply
    15,872.41x = 23,808.82 × 4,185.53
  4. Step 4: Simplify right side
    15,872.41x = 99,652,530.37
  5. Step 5: Solve for x
    x = 99,652,530.37/15,872.41
  6. Step 6: Final answer
    x = 6,278.35

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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.