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Finding the Fourth Proportional to 19,296.50, 26,629.17 and 10,464.50

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Solution

The fourth proportional to 19,296.50, 26,629.17 and 10,464.50 is: 14,441.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,296.50 : 26,629.17 = 10,464.50 : x
  2. Step 2: Convert to fraction form
    19,296.50/26,629.17 = 10,464.50/x
  3. Step 3: Cross multiply
    19,296.50x = 26,629.17 × 10,464.50
  4. Step 4: Simplify right side
    19,296.50x = 278,660,949.47
  5. Step 5: Solve for x
    x = 278,660,949.47/19,296.50
  6. Step 6: Final answer
    x = 14,441.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.