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Finding the Fourth Proportional to 20,098.07, 27,737.00 and 11,148.47

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Solution

The fourth proportional to 20,098.07, 27,737.00 and 11,148.47 is: 15,385.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,098.07 : 27,737.00 = 11,148.47 : x
  2. Step 2: Convert to fraction form
    20,098.07/27,737.00 = 11,148.47/x
  3. Step 3: Cross multiply
    20,098.07x = 27,737.00 × 11,148.47
  4. Step 4: Simplify right side
    20,098.07x = 309,224,917.96
  5. Step 5: Solve for x
    x = 309,224,917.96/20,098.07
  6. Step 6: Final answer
    x = 15,385.80

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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.