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Finding the Fourth Proportional to 29,197.90, 40,289.07 and 16,449.40

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Solution

The fourth proportional to 29,197.90, 40,289.07 and 16,449.40 is: 22,697.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,197.90 : 40,289.07 = 16,449.40 : x
  2. Step 2: Convert to fraction form
    29,197.90/40,289.07 = 16,449.40/x
  3. Step 3: Cross multiply
    29,197.90x = 40,289.07 × 16,449.40
  4. Step 4: Simplify right side
    29,197.90x = 662,731,028.06
  5. Step 5: Solve for x
    x = 662,731,028.06/29,197.90
  6. Step 6: Final answer
    x = 22,697.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.