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Finding the Fourth Proportional to 20,205.36, 30,312.72 and 6,354

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Solution

The fourth proportional to 20,205.36, 30,312.72 and 6,354 is: 9,532.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,205.36 : 30,312.72 = 6,354 : x
  2. Step 2: Convert to fraction form
    20,205.36/30,312.72 = 6,354/x
  3. Step 3: Cross multiply
    20,205.36x = 30,312.72 × 6,354
  4. Step 4: Simplify right side
    20,205.36x = 192,607,022.88
  5. Step 5: Solve for x
    x = 192,607,022.88/20,205.36
  6. Step 6: Final answer
    x = 9,532.47

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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.