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Finding the Fourth Proportional to 16,742.66, 23,102.88 and 9,935.60

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Solution

The fourth proportional to 16,742.66, 23,102.88 and 9,935.60 is: 13,709.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,742.66 : 23,102.88 = 9,935.60 : x
  2. Step 2: Convert to fraction form
    16,742.66/23,102.88 = 9,935.60/x
  3. Step 3: Cross multiply
    16,742.66x = 23,102.88 × 9,935.60
  4. Step 4: Simplify right side
    16,742.66x = 229,540,974.53
  5. Step 5: Solve for x
    x = 229,540,974.53/16,742.66
  6. Step 6: Final answer
    x = 13,709.95

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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.