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Finding the Fourth Proportional to 20,208.86, 30,300.08 and 9,678.53

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Solution

The fourth proportional to 20,208.86, 30,300.08 and 9,678.53 is: 14,511.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,208.86 : 30,300.08 = 9,678.53 : x
  2. Step 2: Convert to fraction form
    20,208.86/30,300.08 = 9,678.53/x
  3. Step 3: Cross multiply
    20,208.86x = 30,300.08 × 9,678.53
  4. Step 4: Simplify right side
    20,208.86x = 293,260,371.10
  5. Step 5: Solve for x
    x = 293,260,371.10/20,208.86
  6. Step 6: Final answer
    x = 14,511.48

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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.