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Finding the Fourth Proportional to 20,118.58, 30,178.50 and 9,589.74

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Solution

The fourth proportional to 20,118.58, 30,178.50 and 9,589.74 is: 14,384.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,118.58 : 30,178.50 = 9,589.74 : x
  2. Step 2: Convert to fraction form
    20,118.58/30,178.50 = 9,589.74/x
  3. Step 3: Cross multiply
    20,118.58x = 30,178.50 × 9,589.74
  4. Step 4: Simplify right side
    20,118.58x = 289,404,155.00
  5. Step 5: Solve for x
    x = 289,404,155.00/20,118.58
  6. Step 6: Final answer
    x = 14,384.92

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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.