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Finding the Fourth Proportional to 20,480.52, 30,720.57 and 9,384.06

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Solution

The fourth proportional to 20,480.52, 30,720.57 and 9,384.06 is: 14,075.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,480.52 : 30,720.57 = 9,384.06 : x
  2. Step 2: Convert to fraction form
    20,480.52/30,720.57 = 9,384.06/x
  3. Step 3: Cross multiply
    20,480.52x = 30,720.57 × 9,384.06
  4. Step 4: Simplify right side
    20,480.52x = 288,283,672.11
  5. Step 5: Solve for x
    x = 288,283,672.11/20,480.52
  6. Step 6: Final answer
    x = 14,075.99

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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.