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Finding the Fourth Proportional to 16,705.12, 23,051.36 and 9,989.44

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Solution

The fourth proportional to 16,705.12, 23,051.36 and 9,989.44 is: 13,784.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,705.12 : 23,051.36 = 9,989.44 : x
  2. Step 2: Convert to fraction form
    16,705.12/23,051.36 = 9,989.44/x
  3. Step 3: Cross multiply
    16,705.12x = 23,051.36 × 9,989.44
  4. Step 4: Simplify right side
    16,705.12x = 230,270,177.64
  5. Step 5: Solve for x
    x = 230,270,177.64/16,705.12
  6. Step 6: Final answer
    x = 13,784.41

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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.