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Finding the Fourth Proportional to 17,627.40, 26,462.70 and 9,736.20

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Solution

The fourth proportional to 17,627.40, 26,462.70 and 9,736.20 is: 14,616.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,627.40 : 26,462.70 = 9,736.20 : x
  2. Step 2: Convert to fraction form
    17,627.40/26,462.70 = 9,736.20/x
  3. Step 3: Cross multiply
    17,627.40x = 26,462.70 × 9,736.20
  4. Step 4: Simplify right side
    17,627.40x = 257,646,139.74
  5. Step 5: Solve for x
    x = 257,646,139.74/17,627.40
  6. Step 6: Final answer
    x = 14,616.23

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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.