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Finding the Fourth Proportional to 20,097.69, 30,142.59 and 14,783.28

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Solution

The fourth proportional to 20,097.69, 30,142.59 and 14,783.28 is: 22,172.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,097.69 : 30,142.59 = 14,783.28 : x
  2. Step 2: Convert to fraction form
    20,097.69/30,142.59 = 14,783.28/x
  3. Step 3: Cross multiply
    20,097.69x = 30,142.59 × 14,783.28
  4. Step 4: Simplify right side
    20,097.69x = 445,606,347.90
  5. Step 5: Solve for x
    x = 445,606,347.90/20,097.69
  6. Step 6: Final answer
    x = 22,172.02

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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.