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Finding the Fourth Proportional to 18,506.09, 25,538.36 and 10,122.59

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Solution

The fourth proportional to 18,506.09, 25,538.36 and 10,122.59 is: 13,969.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,506.09 : 25,538.36 = 10,122.59 : x
  2. Step 2: Convert to fraction form
    18,506.09/25,538.36 = 10,122.59/x
  3. Step 3: Cross multiply
    18,506.09x = 25,538.36 × 10,122.59
  4. Step 4: Simplify right side
    18,506.09x = 258,514,169.25
  5. Step 5: Solve for x
    x = 258,514,169.25/18,506.09
  6. Step 6: Final answer
    x = 13,969.14

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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.