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Finding the Fourth Proportional to 16,416.42, 24,607.60 and 7,644.12

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Solution

The fourth proportional to 16,416.42, 24,607.60 and 7,644.12 is: 11,458.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,416.42 : 24,607.60 = 7,644.12 : x
  2. Step 2: Convert to fraction form
    16,416.42/24,607.60 = 7,644.12/x
  3. Step 3: Cross multiply
    16,416.42x = 24,607.60 × 7,644.12
  4. Step 4: Simplify right side
    16,416.42x = 188,103,447.31
  5. Step 5: Solve for x
    x = 188,103,447.31/16,416.42
  6. Step 6: Final answer
    x = 11,458.25

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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.