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Finding the Fourth Proportional to 16,045.78, 24,122.46 and 12,947.50

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Solution

The fourth proportional to 16,045.78, 24,122.46 and 12,947.50 is: 19,464.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,045.78 : 24,122.46 = 12,947.50 : x
  2. Step 2: Convert to fraction form
    16,045.78/24,122.46 = 12,947.50/x
  3. Step 3: Cross multiply
    16,045.78x = 24,122.46 × 12,947.50
  4. Step 4: Simplify right side
    16,045.78x = 312,325,550.85
  5. Step 5: Solve for x
    x = 312,325,550.85/16,045.78
  6. Step 6: Final answer
    x = 19,464.65

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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.