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Finding the Fourth Proportional to 15,507.45, 23,264.01 and 6,742.44

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Solution

The fourth proportional to 15,507.45, 23,264.01 and 6,742.44 is: 10,114.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,507.45 : 23,264.01 = 6,742.44 : x
  2. Step 2: Convert to fraction form
    15,507.45/23,264.01 = 6,742.44/x
  3. Step 3: Cross multiply
    15,507.45x = 23,264.01 × 6,742.44
  4. Step 4: Simplify right side
    15,507.45x = 156,856,191.58
  5. Step 5: Solve for x
    x = 156,856,191.58/15,507.45
  6. Step 6: Final answer
    x = 10,114.89

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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.