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Finding the Fourth Proportional to 19,530.20, 29,295.30 and 9,000.20

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Solution

The fourth proportional to 19,530.20, 29,295.30 and 9,000.20 is: 13,500.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,530.20 : 29,295.30 = 9,000.20 : x
  2. Step 2: Convert to fraction form
    19,530.20/29,295.30 = 9,000.20/x
  3. Step 3: Cross multiply
    19,530.20x = 29,295.30 × 9,000.20
  4. Step 4: Simplify right side
    19,530.20x = 263,663,559.06
  5. Step 5: Solve for x
    x = 263,663,559.06/19,530.20
  6. Step 6: Final answer
    x = 13,500.30

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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.