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Finding the Fourth Proportional to 16,807.50, 23,194.35 and 9,736.20

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Solution

The fourth proportional to 16,807.50, 23,194.35 and 9,736.20 is: 13,435.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,807.50 : 23,194.35 = 9,736.20 : x
  2. Step 2: Convert to fraction form
    16,807.50/23,194.35 = 9,736.20/x
  3. Step 3: Cross multiply
    16,807.50x = 23,194.35 × 9,736.20
  4. Step 4: Simplify right side
    16,807.50x = 225,824,830.47
  5. Step 5: Solve for x
    x = 225,824,830.47/16,807.50
  6. Step 6: Final answer
    x = 13,435.96

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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.