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Finding the Fourth Proportional to 17,091.13, 23,585.73 and 9,537

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Solution

The fourth proportional to 17,091.13, 23,585.73 and 9,537 is: 13,161.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,091.13 : 23,585.73 = 9,537 : x
  2. Step 2: Convert to fraction form
    17,091.13/23,585.73 = 9,537/x
  3. Step 3: Cross multiply
    17,091.13x = 23,585.73 × 9,537
  4. Step 4: Simplify right side
    17,091.13x = 224,937,107.01
  5. Step 5: Solve for x
    x = 224,937,107.01/17,091.13
  6. Step 6: Final answer
    x = 13,161.04

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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.