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Finding the Fourth Proportional to 11,647,539.10, 17,471,308.65 and 11,647,539.10

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Solution

The fourth proportional to 11,647,539.10, 17,471,308.65 and 11,647,539.10 is: 17,471,308.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,647,539.10 : 17,471,308.65 = 11,647,539.10 : x
  2. Step 2: Convert to fraction form
    11,647,539.10/17,471,308.65 = 11,647,539.10/x
  3. Step 3: Cross multiply
    11,647,539.10x = 17,471,308.65 × 11,647,539.10
  4. Step 4: Simplify right side
    11,647,539.10x = 203,497,750,629,043.19
  5. Step 5: Solve for x
    x = 203,497,750,629,043.19/11,647,539.10
  6. Step 6: Final answer
    x = 17,471,308.65

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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.