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Finding the Fourth Proportional to 20,098.69, 30,144.09 and 14,784.28

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Solution

The fourth proportional to 20,098.69, 30,144.09 and 14,784.28 is: 22,173.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,098.69 : 30,144.09 = 14,784.28 : x
  2. Step 2: Convert to fraction form
    20,098.69/30,144.09 = 14,784.28/x
  3. Step 3: Cross multiply
    20,098.69x = 30,144.09 × 14,784.28
  4. Step 4: Simplify right side
    20,098.69x = 445,658,666.91
  5. Step 5: Solve for x
    x = 445,658,666.91/20,098.69
  6. Step 6: Final answer
    x = 22,173.52

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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.