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Finding the Fourth Proportional to 19,532.34, 29,314.86 and 8,447.46

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Solution

The fourth proportional to 19,532.34, 29,314.86 and 8,447.46 is: 12,678.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,532.34 : 29,314.86 = 8,447.46 : x
  2. Step 2: Convert to fraction form
    19,532.34/29,314.86 = 8,447.46/x
  3. Step 3: Cross multiply
    19,532.34x = 29,314.86 × 8,447.46
  4. Step 4: Simplify right side
    19,532.34x = 247,636,107.26
  5. Step 5: Solve for x
    x = 247,636,107.26/19,532.34
  6. Step 6: Final answer
    x = 12,678.26

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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.