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Finding the Fourth Proportional to 19,679.47, 29,514.57 and 5,639.29

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Solution

The fourth proportional to 19,679.47, 29,514.57 and 5,639.29 is: 8,457.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,679.47 : 29,514.57 = 5,639.29 : x
  2. Step 2: Convert to fraction form
    19,679.47/29,514.57 = 5,639.29/x
  3. Step 3: Cross multiply
    19,679.47x = 29,514.57 × 5,639.29
  4. Step 4: Simplify right side
    19,679.47x = 166,441,219.46
  5. Step 5: Solve for x
    x = 166,441,219.46/19,679.47
  6. Step 6: Final answer
    x = 8,457.61

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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.