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Finding the Fourth Proportional to 17,537.81, 24,201.78 and 9,580.07

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Solution

The fourth proportional to 17,537.81, 24,201.78 and 9,580.07 is: 13,220.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,537.81 : 24,201.78 = 9,580.07 : x
  2. Step 2: Convert to fraction form
    17,537.81/24,201.78 = 9,580.07/x
  3. Step 3: Cross multiply
    17,537.81x = 24,201.78 × 9,580.07
  4. Step 4: Simplify right side
    17,537.81x = 231,854,746.52
  5. Step 5: Solve for x
    x = 231,854,746.52/17,537.81
  6. Step 6: Final answer
    x = 13,220.28

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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.