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Finding the Fourth Proportional to 16,505.12, 24,759.36 and 7,143.36

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Solution

The fourth proportional to 16,505.12, 24,759.36 and 7,143.36 is: 10,715.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,505.12 : 24,759.36 = 7,143.36 : x
  2. Step 2: Convert to fraction form
    16,505.12/24,759.36 = 7,143.36/x
  3. Step 3: Cross multiply
    16,505.12x = 24,759.36 × 7,143.36
  4. Step 4: Simplify right side
    16,505.12x = 176,865,021.85
  5. Step 5: Solve for x
    x = 176,865,021.85/16,505.12
  6. Step 6: Final answer
    x = 10,715.77

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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.