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Finding the Fourth Proportional to 20,295.87, 30,468.80 and 9,632.40

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Solution

The fourth proportional to 20,295.87, 30,468.80 and 9,632.40 is: 14,460.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,295.87 : 30,468.80 = 9,632.40 : x
  2. Step 2: Convert to fraction form
    20,295.87/30,468.80 = 9,632.40/x
  3. Step 3: Cross multiply
    20,295.87x = 30,468.80 × 9,632.40
  4. Step 4: Simplify right side
    20,295.87x = 293,487,669.12
  5. Step 5: Solve for x
    x = 293,487,669.12/20,295.87
  6. Step 6: Final answer
    x = 14,460.46

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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.