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Finding the Fourth Proportional to 18,132.51, 25,022.82 and 10,174.77

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Solution

The fourth proportional to 18,132.51, 25,022.82 and 10,174.77 is: 14,041.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,132.51 : 25,022.82 = 10,174.77 : x
  2. Step 2: Convert to fraction form
    18,132.51/25,022.82 = 10,174.77/x
  3. Step 3: Cross multiply
    18,132.51x = 25,022.82 × 10,174.77
  4. Step 4: Simplify right side
    18,132.51x = 254,601,438.25
  5. Step 5: Solve for x
    x = 254,601,438.25/18,132.51
  6. Step 6: Final answer
    x = 14,041.16

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