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Finding the Fourth Proportional to 19,594.32, 29,388.15 and 6,446.76

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Solution

The fourth proportional to 19,594.32, 29,388.15 and 6,446.76 is: 9,669.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,594.32 : 29,388.15 = 6,446.76 : x
  2. Step 2: Convert to fraction form
    19,594.32/29,388.15 = 6,446.76/x
  3. Step 3: Cross multiply
    19,594.32x = 29,388.15 × 6,446.76
  4. Step 4: Simplify right side
    19,594.32x = 189,458,349.89
  5. Step 5: Solve for x
    x = 189,458,349.89/19,594.32
  6. Step 6: Final answer
    x = 9,669.04

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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.