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Finding the Fourth Proportional to 16,013.70, 24,021.77 and 4,921.16

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Solution

The fourth proportional to 16,013.70, 24,021.77 and 4,921.16 is: 7,382.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,013.70 : 24,021.77 = 4,921.16 : x
  2. Step 2: Convert to fraction form
    16,013.70/24,021.77 = 4,921.16/x
  3. Step 3: Cross multiply
    16,013.70x = 24,021.77 × 4,921.16
  4. Step 4: Simplify right side
    16,013.70x = 118,214,828.94
  5. Step 5: Solve for x
    x = 118,214,828.94/16,013.70
  6. Step 6: Final answer
    x = 7,382.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.