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Finding the Fourth Proportional to 15,576.68, 23,360.16 and 5,186

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Solution

The fourth proportional to 15,576.68, 23,360.16 and 5,186 is: 7,777.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,576.68 : 23,360.16 = 5,186 : x
  2. Step 2: Convert to fraction form
    15,576.68/23,360.16 = 5,186/x
  3. Step 3: Cross multiply
    15,576.68x = 23,360.16 × 5,186
  4. Step 4: Simplify right side
    15,576.68x = 121,145,789.76
  5. Step 5: Solve for x
    x = 121,145,789.76/15,576.68
  6. Step 6: Final answer
    x = 7,777.38

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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.