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Finding the Fourth Proportional to 11,477.58, 17,196.93 and 9,144.78

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Solution

The fourth proportional to 11,477.58, 17,196.93 and 9,144.78 is: 13,701.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,477.58 : 17,196.93 = 9,144.78 : x
  2. Step 2: Convert to fraction form
    11,477.58/17,196.93 = 9,144.78/x
  3. Step 3: Cross multiply
    11,477.58x = 17,196.93 × 9,144.78
  4. Step 4: Simplify right side
    11,477.58x = 157,262,141.53
  5. Step 5: Solve for x
    x = 157,262,141.53/11,477.58
  6. Step 6: Final answer
    x = 13,701.68

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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.