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Finding the Fourth Proportional to 11,051.42, 16,554.53 and 9,196.56

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Solution

The fourth proportional to 11,051.42, 16,554.53 and 9,196.56 is: 13,776.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,051.42 : 16,554.53 = 9,196.56 : x
  2. Step 2: Convert to fraction form
    11,051.42/16,554.53 = 9,196.56/x
  3. Step 3: Cross multiply
    11,051.42x = 16,554.53 × 9,196.56
  4. Step 4: Simplify right side
    11,051.42x = 152,244,682.43
  5. Step 5: Solve for x
    x = 152,244,682.43/11,051.42
  6. Step 6: Final answer
    x = 13,776.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.