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Finding the Fourth Proportional to 15,672.12, 23,507.82 and 3,985.35

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Solution

The fourth proportional to 15,672.12, 23,507.82 and 3,985.35 is: 5,977.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,672.12 : 23,507.82 = 3,985.35 : x
  2. Step 2: Convert to fraction form
    15,672.12/23,507.82 = 3,985.35/x
  3. Step 3: Cross multiply
    15,672.12x = 23,507.82 × 3,985.35
  4. Step 4: Simplify right side
    15,672.12x = 93,686,890.44
  5. Step 5: Solve for x
    x = 93,686,890.44/15,672.12
  6. Step 6: Final answer
    x = 5,977.93

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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.