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Finding the Fourth Proportional to 19,957.90, 27,543.75 and 11,461.14

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Solution

The fourth proportional to 19,957.90, 27,543.75 and 11,461.14 is: 15,817.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,957.90 : 27,543.75 = 11,461.14 : x
  2. Step 2: Convert to fraction form
    19,957.90/27,543.75 = 11,461.14/x
  3. Step 3: Cross multiply
    19,957.90x = 27,543.75 × 11,461.14
  4. Step 4: Simplify right side
    19,957.90x = 315,682,774.88
  5. Step 5: Solve for x
    x = 315,682,774.88/19,957.90
  6. Step 6: Final answer
    x = 15,817.43

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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.