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Finding the Fourth Proportional to 19,914.90, 29,829.15 and 16,458.90

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Solution

The fourth proportional to 19,914.90, 29,829.15 and 16,458.90 is: 24,652.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,914.90 : 29,829.15 = 16,458.90 : x
  2. Step 2: Convert to fraction form
    19,914.90/29,829.15 = 16,458.90/x
  3. Step 3: Cross multiply
    19,914.90x = 29,829.15 × 16,458.90
  4. Step 4: Simplify right side
    19,914.90x = 490,954,996.94
  5. Step 5: Solve for x
    x = 490,954,996.94/19,914.90
  6. Step 6: Final answer
    x = 24,652.65

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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.