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Finding the Fourth Proportional to 16,210.98, 22,374.63 and 10,238.85

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Solution

The fourth proportional to 16,210.98, 22,374.63 and 10,238.85 is: 14,131.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,210.98 : 22,374.63 = 10,238.85 : x
  2. Step 2: Convert to fraction form
    16,210.98/22,374.63 = 10,238.85/x
  3. Step 3: Cross multiply
    16,210.98x = 22,374.63 × 10,238.85
  4. Step 4: Simplify right side
    16,210.98x = 229,090,480.38
  5. Step 5: Solve for x
    x = 229,090,480.38/16,210.98
  6. Step 6: Final answer
    x = 14,131.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.