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Finding the Fourth Proportional to 21,259.84, 29,338.86 and 11,828.38

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Solution

The fourth proportional to 21,259.84, 29,338.86 and 11,828.38 is: 16,323.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,259.84 : 29,338.86 = 11,828.38 : x
  2. Step 2: Convert to fraction form
    21,259.84/29,338.86 = 11,828.38/x
  3. Step 3: Cross multiply
    21,259.84x = 29,338.86 × 11,828.38
  4. Step 4: Simplify right side
    21,259.84x = 347,031,184.85
  5. Step 5: Solve for x
    x = 347,031,184.85/21,259.84
  6. Step 6: Final answer
    x = 16,323.32

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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.