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Finding the Fourth Proportional to 17,537.83, 24,201.22 and 9,986.01

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Solution

The fourth proportional to 17,537.83, 24,201.22 and 9,986.01 is: 13,780.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,537.83 : 24,201.22 = 9,986.01 : x
  2. Step 2: Convert to fraction form
    17,537.83/24,201.22 = 9,986.01/x
  3. Step 3: Cross multiply
    17,537.83x = 24,201.22 × 9,986.01
  4. Step 4: Simplify right side
    17,537.83x = 241,673,624.93
  5. Step 5: Solve for x
    x = 241,673,624.93/17,537.83
  6. Step 6: Final answer
    x = 13,780.13

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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.