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Finding the Fourth Proportional to 16,046.42, 24,056.13 and 7,278.98

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Solution

The fourth proportional to 16,046.42, 24,056.13 and 7,278.98 is: 10,912.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,046.42 : 24,056.13 = 7,278.98 : x
  2. Step 2: Convert to fraction form
    16,046.42/24,056.13 = 7,278.98/x
  3. Step 3: Cross multiply
    16,046.42x = 24,056.13 × 7,278.98
  4. Step 4: Simplify right side
    16,046.42x = 175,104,089.15
  5. Step 5: Solve for x
    x = 175,104,089.15/16,046.42
  6. Step 6: Final answer
    x = 10,912.35

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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.