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Finding the Fourth Proportional to 16,580.64, 24,881.90 and 7,816.44

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Solution

The fourth proportional to 16,580.64, 24,881.90 and 7,816.44 is: 11,729.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,580.64 : 24,881.90 = 7,816.44 : x
  2. Step 2: Convert to fraction form
    16,580.64/24,881.90 = 7,816.44/x
  3. Step 3: Cross multiply
    16,580.64x = 24,881.90 × 7,816.44
  4. Step 4: Simplify right side
    16,580.64x = 194,487,839.35
  5. Step 5: Solve for x
    x = 194,487,839.35/16,580.64
  6. Step 6: Final answer
    x = 11,729.81

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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.