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Finding the Fourth Proportional to 17,381.64, 23,986.61 and 9,423.86

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Solution

The fourth proportional to 17,381.64, 23,986.61 and 9,423.86 is: 13,004.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,381.64 : 23,986.61 = 9,423.86 : x
  2. Step 2: Convert to fraction form
    17,381.64/23,986.61 = 9,423.86/x
  3. Step 3: Cross multiply
    17,381.64x = 23,986.61 × 9,423.86
  4. Step 4: Simplify right side
    17,381.64x = 226,046,287.46
  5. Step 5: Solve for x
    x = 226,046,287.46/17,381.64
  6. Step 6: Final answer
    x = 13,004.89

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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.