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Finding the Fourth Proportional to 19,494.80, 26,905.12 and 11,537

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Solution

The fourth proportional to 19,494.80, 26,905.12 and 11,537 is: 15,922.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,494.80 : 26,905.12 = 11,537 : x
  2. Step 2: Convert to fraction form
    19,494.80/26,905.12 = 11,537/x
  3. Step 3: Cross multiply
    19,494.80x = 26,905.12 × 11,537
  4. Step 4: Simplify right side
    19,494.80x = 310,404,369.44
  5. Step 5: Solve for x
    x = 310,404,369.44/19,494.80
  6. Step 6: Final answer
    x = 15,922.42

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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.