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Finding the Fourth Proportional to 17,969.40, 26,954.10 and 15,782.40

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Solution

The fourth proportional to 17,969.40, 26,954.10 and 15,782.40 is: 23,673.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,969.40 : 26,954.10 = 15,782.40 : x
  2. Step 2: Convert to fraction form
    17,969.40/26,954.10 = 15,782.40/x
  3. Step 3: Cross multiply
    17,969.40x = 26,954.10 × 15,782.40
  4. Step 4: Simplify right side
    17,969.40x = 425,400,387.84
  5. Step 5: Solve for x
    x = 425,400,387.84/17,969.40
  6. Step 6: Final answer
    x = 23,673.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.