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Finding the Fourth Proportional to 17,381.87, 23,987.63 and 9,829.03

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Solution

The fourth proportional to 17,381.87, 23,987.63 and 9,829.03 is: 13,564.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,381.87 : 23,987.63 = 9,829.03 : x
  2. Step 2: Convert to fraction form
    17,381.87/23,987.63 = 9,829.03/x
  3. Step 3: Cross multiply
    17,381.87x = 23,987.63 × 9,829.03
  4. Step 4: Simplify right side
    17,381.87x = 235,775,080.06
  5. Step 5: Solve for x
    x = 235,775,080.06/17,381.87
  6. Step 6: Final answer
    x = 13,564.43

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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.