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Finding the Fourth Proportional to 17,683.38, 24,402.63 and 9,616.94

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Solution

The fourth proportional to 17,683.38, 24,402.63 and 9,616.94 is: 13,271.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,683.38 : 24,402.63 = 9,616.94 : x
  2. Step 2: Convert to fraction form
    17,683.38/24,402.63 = 9,616.94/x
  3. Step 3: Cross multiply
    17,683.38x = 24,402.63 × 9,616.94
  4. Step 4: Simplify right side
    17,683.38x = 234,678,628.55
  5. Step 5: Solve for x
    x = 234,678,628.55/17,683.38
  6. Step 6: Final answer
    x = 13,271.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.