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Finding the Fourth Proportional to 16,782.88, 23,162.22 and 9,709

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Solution

The fourth proportional to 16,782.88, 23,162.22 and 9,709 is: 13,399.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,782.88 : 23,162.22 = 9,709 : x
  2. Step 2: Convert to fraction form
    16,782.88/23,162.22 = 9,709/x
  3. Step 3: Cross multiply
    16,782.88x = 23,162.22 × 9,709
  4. Step 4: Simplify right side
    16,782.88x = 224,881,993.98
  5. Step 5: Solve for x
    x = 224,881,993.98/16,782.88
  6. Step 6: Final answer
    x = 13,399.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.