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Finding the Fourth Proportional to 18,577.14, 25,624.31 and 11,017.81

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Solution

The fourth proportional to 18,577.14, 25,624.31 and 11,017.81 is: 15,197.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,577.14 : 25,624.31 = 11,017.81 : x
  2. Step 2: Convert to fraction form
    18,577.14/25,624.31 = 11,017.81/x
  3. Step 3: Cross multiply
    18,577.14x = 25,624.31 × 11,017.81
  4. Step 4: Simplify right side
    18,577.14x = 282,323,778.96
  5. Step 5: Solve for x
    x = 282,323,778.96/18,577.14
  6. Step 6: Final answer
    x = 15,197.38

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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.