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Finding the Fourth Proportional to 18,534.88, 25,577.94 and 11,461.96

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Solution

The fourth proportional to 18,534.88, 25,577.94 and 11,461.96 is: 15,817.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,534.88 : 25,577.94 = 11,461.96 : x
  2. Step 2: Convert to fraction form
    18,534.88/25,577.94 = 11,461.96/x
  3. Step 3: Cross multiply
    18,534.88x = 25,577.94 × 11,461.96
  4. Step 4: Simplify right side
    18,534.88x = 293,173,325.16
  5. Step 5: Solve for x
    x = 293,173,325.16/18,534.88
  6. Step 6: Final answer
    x = 15,817.38

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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.