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Finding the Fourth Proportional to 16,442.89, 24,664.32 and 4,756.09

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Solution

The fourth proportional to 16,442.89, 24,664.32 and 4,756.09 is: 7,134.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,442.89 : 24,664.32 = 4,756.09 : x
  2. Step 2: Convert to fraction form
    16,442.89/24,664.32 = 4,756.09/x
  3. Step 3: Cross multiply
    16,442.89x = 24,664.32 × 4,756.09
  4. Step 4: Simplify right side
    16,442.89x = 117,305,725.71
  5. Step 5: Solve for x
    x = 117,305,725.71/16,442.89
  6. Step 6: Final answer
    x = 7,134.13

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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.