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Finding the Fourth Proportional to 18,534.42, 25,577.24 and 10,576.44

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Solution

The fourth proportional to 18,534.42, 25,577.24 and 10,576.44 is: 14,595.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,534.42 : 25,577.24 = 10,576.44 : x
  2. Step 2: Convert to fraction form
    18,534.42/25,577.24 = 10,576.44/x
  3. Step 3: Cross multiply
    18,534.42x = 25,577.24 × 10,576.44
  4. Step 4: Simplify right side
    18,534.42x = 270,516,091.34
  5. Step 5: Solve for x
    x = 270,516,091.34/18,534.42
  6. Step 6: Final answer
    x = 14,595.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.