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Finding the Fourth Proportional to 16,853.96, 23,262 and 11,189.18

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Solution

The fourth proportional to 16,853.96, 23,262 and 11,189.18 is: 15,443.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,853.96 : 23,262 = 11,189.18 : x
  2. Step 2: Convert to fraction form
    16,853.96/23,262 = 11,189.18/x
  3. Step 3: Cross multiply
    16,853.96x = 23,262 × 11,189.18
  4. Step 4: Simplify right side
    16,853.96x = 260,282,705.16
  5. Step 5: Solve for x
    x = 260,282,705.16/16,853.96
  6. Step 6: Final answer
    x = 15,443.42

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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.