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Finding the Fourth Proportional to 19,488.67, 29,228.14 and 7,644.85

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Solution

The fourth proportional to 19,488.67, 29,228.14 and 7,644.85 is: 11,465.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,488.67 : 29,228.14 = 7,644.85 : x
  2. Step 2: Convert to fraction form
    19,488.67/29,228.14 = 7,644.85/x
  3. Step 3: Cross multiply
    19,488.67x = 29,228.14 × 7,644.85
  4. Step 4: Simplify right side
    19,488.67x = 223,444,746.08
  5. Step 5: Solve for x
    x = 223,444,746.08/19,488.67
  6. Step 6: Final answer
    x = 11,465.37

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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.