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Finding the Fourth Proportional to 17,381.19, 23,986.07 and 9,423.47

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Solution

The fourth proportional to 17,381.19, 23,986.07 and 9,423.47 is: 13,004.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,381.19 : 23,986.07 = 9,423.47 : x
  2. Step 2: Convert to fraction form
    17,381.19/23,986.07 = 9,423.47/x
  3. Step 3: Cross multiply
    17,381.19x = 23,986.07 × 9,423.47
  4. Step 4: Simplify right side
    17,381.19x = 226,031,844.02
  5. Step 5: Solve for x
    x = 226,031,844.02/17,381.19
  6. Step 6: Final answer
    x = 13,004.39

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1.5x scale

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.