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Finding the Fourth Proportional to 20,260.59, 30,381.16 and 9,578.06

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Solution

The fourth proportional to 20,260.59, 30,381.16 and 9,578.06 is: 14,362.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,260.59 : 30,381.16 = 9,578.06 : x
  2. Step 2: Convert to fraction form
    20,260.59/30,381.16 = 9,578.06/x
  3. Step 3: Cross multiply
    20,260.59x = 30,381.16 × 9,578.06
  4. Step 4: Simplify right side
    20,260.59x = 290,992,421.44
  5. Step 5: Solve for x
    x = 290,992,421.44/20,260.59
  6. Step 6: Final answer
    x = 14,362.49

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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.