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Finding the Fourth Proportional to 19,683.96, 29,518.65 and 7,199.70

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Solution

The fourth proportional to 19,683.96, 29,518.65 and 7,199.70 is: 10,796.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,683.96 : 29,518.65 = 7,199.70 : x
  2. Step 2: Convert to fraction form
    19,683.96/29,518.65 = 7,199.70/x
  3. Step 3: Cross multiply
    19,683.96x = 29,518.65 × 7,199.70
  4. Step 4: Simplify right side
    19,683.96x = 212,525,424.41
  5. Step 5: Solve for x
    x = 212,525,424.41/19,683.96
  6. Step 6: Final answer
    x = 10,796.88

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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.