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Finding the Fourth Proportional to 21,229.38, 29,303.37 and 12,852.90

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Solution

The fourth proportional to 21,229.38, 29,303.37 and 12,852.90 is: 17,741.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,229.38 : 29,303.37 = 12,852.90 : x
  2. Step 2: Convert to fraction form
    21,229.38/29,303.37 = 12,852.90/x
  3. Step 3: Cross multiply
    21,229.38x = 29,303.37 × 12,852.90
  4. Step 4: Simplify right side
    21,229.38x = 376,633,284.27
  5. Step 5: Solve for x
    x = 376,633,284.27/21,229.38
  6. Step 6: Final answer
    x = 17,741.13

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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.