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Finding the Fourth Proportional to 17,381.88, 23,986.89 and 9,424.08

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Solution

The fourth proportional to 17,381.88, 23,986.89 and 9,424.08 is: 13,005.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,381.88 : 23,986.89 = 9,424.08 : x
  2. Step 2: Convert to fraction form
    17,381.88/23,986.89 = 9,424.08/x
  3. Step 3: Cross multiply
    17,381.88x = 23,986.89 × 9,424.08
  4. Step 4: Simplify right side
    17,381.88x = 226,054,370.31
  5. Step 5: Solve for x
    x = 226,054,370.31/17,381.88
  6. Step 6: Final answer
    x = 13,005.17

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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.