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Finding the Fourth Proportional to 19,646.25, 29,438.55 and 7,793.61

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Solution

The fourth proportional to 19,646.25, 29,438.55 and 7,793.61 is: 11,678.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,646.25 : 29,438.55 = 7,793.61 : x
  2. Step 2: Convert to fraction form
    19,646.25/29,438.55 = 7,793.61/x
  3. Step 3: Cross multiply
    19,646.25x = 29,438.55 × 7,793.61
  4. Step 4: Simplify right side
    19,646.25x = 229,432,577.67
  5. Step 5: Solve for x
    x = 229,432,577.67/19,646.25
  6. Step 6: Final answer
    x = 11,678.19

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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.