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Finding the Fourth Proportional to 14,834.88, 22,252 and 6,828.64

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Solution

The fourth proportional to 14,834.88, 22,252 and 6,828.64 is: 10,242.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,834.88 : 22,252 = 6,828.64 : x
  2. Step 2: Convert to fraction form
    14,834.88/22,252 = 6,828.64/x
  3. Step 3: Cross multiply
    14,834.88x = 22,252 × 6,828.64
  4. Step 4: Simplify right side
    14,834.88x = 151,950,897.28
  5. Step 5: Solve for x
    x = 151,950,897.28/14,834.88
  6. Step 6: Final answer
    x = 10,242.81

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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.