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Finding the Fourth Proportional to 17,083.57, 23,574.18 and 9,913.70

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Solution

The fourth proportional to 17,083.57, 23,574.18 and 9,913.70 is: 13,680.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,083.57 : 23,574.18 = 9,913.70 : x
  2. Step 2: Convert to fraction form
    17,083.57/23,574.18 = 9,913.70/x
  3. Step 3: Cross multiply
    17,083.57x = 23,574.18 × 9,913.70
  4. Step 4: Simplify right side
    17,083.57x = 233,707,348.27
  5. Step 5: Solve for x
    x = 233,707,348.27/17,083.57
  6. Step 6: Final answer
    x = 13,680.24

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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.