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Finding the Fourth Proportional to 19,666.40, 29,499.60 and 16,440.80

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Solution

The fourth proportional to 19,666.40, 29,499.60 and 16,440.80 is: 24,661.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,666.40 : 29,499.60 = 16,440.80 : x
  2. Step 2: Convert to fraction form
    19,666.40/29,499.60 = 16,440.80/x
  3. Step 3: Cross multiply
    19,666.40x = 29,499.60 × 16,440.80
  4. Step 4: Simplify right side
    19,666.40x = 484,997,023.68
  5. Step 5: Solve for x
    x = 484,997,023.68/19,666.40
  6. Step 6: Final answer
    x = 24,661.20

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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.