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Finding the Fourth Proportional to 14,576.56, 21,868.02 and 5,342.56

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Solution

The fourth proportional to 14,576.56, 21,868.02 and 5,342.56 is: 8,015.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,576.56 : 21,868.02 = 5,342.56 : x
  2. Step 2: Convert to fraction form
    14,576.56/21,868.02 = 5,342.56/x
  3. Step 3: Cross multiply
    14,576.56x = 21,868.02 × 5,342.56
  4. Step 4: Simplify right side
    14,576.56x = 116,831,208.93
  5. Step 5: Solve for x
    x = 116,831,208.93/14,576.56
  6. Step 6: Final answer
    x = 8,015.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.