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Finding the Fourth Proportional to 16,130.60, 24,202.74 and 7,816.80

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Solution

The fourth proportional to 16,130.60, 24,202.74 and 7,816.80 is: 11,728.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,130.60 : 24,202.74 = 7,816.80 : x
  2. Step 2: Convert to fraction form
    16,130.60/24,202.74 = 7,816.80/x
  3. Step 3: Cross multiply
    16,130.60x = 24,202.74 × 7,816.80
  4. Step 4: Simplify right side
    16,130.60x = 189,187,978.03
  5. Step 5: Solve for x
    x = 189,187,978.03/16,130.60
  6. Step 6: Final answer
    x = 11,728.52

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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.