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Finding the Fourth Proportional to 16,802.56, 23,187.06 and 9,729.10

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Solution

The fourth proportional to 16,802.56, 23,187.06 and 9,729.10 is: 13,425.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,802.56 : 23,187.06 = 9,729.10 : x
  2. Step 2: Convert to fraction form
    16,802.56/23,187.06 = 9,729.10/x
  3. Step 3: Cross multiply
    16,802.56x = 23,187.06 × 9,729.10
  4. Step 4: Simplify right side
    16,802.56x = 225,589,225.45
  5. Step 5: Solve for x
    x = 225,589,225.45/16,802.56
  6. Step 6: Final answer
    x = 13,425.88

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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.