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Finding the Fourth Proportional to 16,852.92, 23,258.12 and 9,685.14

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Solution

The fourth proportional to 16,852.92, 23,258.12 and 9,685.14 is: 13,366.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,852.92 : 23,258.12 = 9,685.14 : x
  2. Step 2: Convert to fraction form
    16,852.92/23,258.12 = 9,685.14/x
  3. Step 3: Cross multiply
    16,852.92x = 23,258.12 × 9,685.14
  4. Step 4: Simplify right side
    16,852.92x = 225,258,099.91
  5. Step 5: Solve for x
    x = 225,258,099.91/16,852.92
  6. Step 6: Final answer
    x = 13,366.12

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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.