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Finding the Fourth Proportional to 19,677, 29,494.13 and 9,688.62

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Solution

The fourth proportional to 19,677, 29,494.13 and 9,688.62 is: 14,522.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,677 : 29,494.13 = 9,688.62 : x
  2. Step 2: Convert to fraction form
    19,677/29,494.13 = 9,688.62/x
  3. Step 3: Cross multiply
    19,677x = 29,494.13 × 9,688.62
  4. Step 4: Simplify right side
    19,677x = 285,757,417.80
  5. Step 5: Solve for x
    x = 285,757,417.80/19,677
  6. Step 6: Final answer
    x = 14,522.41

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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.