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Finding the Fourth Proportional to 17,236.38, 23,784.53 and 9,681

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Solution

The fourth proportional to 17,236.38, 23,784.53 and 9,681 is: 13,358.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,236.38 : 23,784.53 = 9,681 : x
  2. Step 2: Convert to fraction form
    17,236.38/23,784.53 = 9,681/x
  3. Step 3: Cross multiply
    17,236.38x = 23,784.53 × 9,681
  4. Step 4: Simplify right side
    17,236.38x = 230,257,986.53
  5. Step 5: Solve for x
    x = 230,257,986.53/17,236.38
  6. Step 6: Final answer
    x = 13,358.84

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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.