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Finding the Fourth Proportional to 16,905.32, 23,328.89 and 9,351.46

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Solution

The fourth proportional to 16,905.32, 23,328.89 and 9,351.46 is: 12,904.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,905.32 : 23,328.89 = 9,351.46 : x
  2. Step 2: Convert to fraction form
    16,905.32/23,328.89 = 9,351.46/x
  3. Step 3: Cross multiply
    16,905.32x = 23,328.89 × 9,351.46
  4. Step 4: Simplify right side
    16,905.32x = 218,159,181.68
  5. Step 5: Solve for x
    x = 218,159,181.68/16,905.32
  6. Step 6: Final answer
    x = 12,904.76

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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.