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Finding the Fourth Proportional to 14,077.90, 19,405.17 and 11,089

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Solution

The fourth proportional to 14,077.90, 19,405.17 and 11,089 is: 15,285.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,077.90 : 19,405.17 = 11,089 : x
  2. Step 2: Convert to fraction form
    14,077.90/19,405.17 = 11,089/x
  3. Step 3: Cross multiply
    14,077.90x = 19,405.17 × 11,089
  4. Step 4: Simplify right side
    14,077.90x = 215,183,930.13
  5. Step 5: Solve for x
    x = 215,183,930.13/14,077.90
  6. Step 6: Final answer
    x = 15,285.23

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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.