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Finding the Fourth Proportional to 16,614.32, 24,922.82 and 4,927.50

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Solution

The fourth proportional to 16,614.32, 24,922.82 and 4,927.50 is: 7,391.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,614.32 : 24,922.82 = 4,927.50 : x
  2. Step 2: Convert to fraction form
    16,614.32/24,922.82 = 4,927.50/x
  3. Step 3: Cross multiply
    16,614.32x = 24,922.82 × 4,927.50
  4. Step 4: Simplify right side
    16,614.32x = 122,807,207.87
  5. Step 5: Solve for x
    x = 122,807,207.87/16,614.32
  6. Step 6: Final answer
    x = 7,391.65

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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.