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Finding the Fourth Proportional to 16,509.89, 24,749.65 and 5,977.46

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Solution

The fourth proportional to 16,509.89, 24,749.65 and 5,977.46 is: 8,960.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,509.89 : 24,749.65 = 5,977.46 : x
  2. Step 2: Convert to fraction form
    16,509.89/24,749.65 = 5,977.46/x
  3. Step 3: Cross multiply
    16,509.89x = 24,749.65 × 5,977.46
  4. Step 4: Simplify right side
    16,509.89x = 147,940,112.23
  5. Step 5: Solve for x
    x = 147,940,112.23/16,509.89
  6. Step 6: Final answer
    x = 8,960.70

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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.