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Finding the Fourth Proportional to 13,153, 19,739.24 and 6,227.52

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Solution

The fourth proportional to 13,153, 19,739.24 and 6,227.52 is: 9,345.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,153 : 19,739.24 = 6,227.52 : x
  2. Step 2: Convert to fraction form
    13,153/19,739.24 = 6,227.52/x
  3. Step 3: Cross multiply
    13,153x = 19,739.24 × 6,227.52
  4. Step 4: Simplify right side
    13,153x = 122,926,511.88
  5. Step 5: Solve for x
    x = 122,926,511.88/13,153
  6. Step 6: Final answer
    x = 9,345.89

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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.