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Finding the Fourth Proportional to 21,309.29, 29,409.65 and 12,238.23

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Solution

The fourth proportional to 21,309.29, 29,409.65 and 12,238.23 is: 16,890.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,309.29 : 29,409.65 = 12,238.23 : x
  2. Step 2: Convert to fraction form
    21,309.29/29,409.65 = 12,238.23/x
  3. Step 3: Cross multiply
    21,309.29x = 29,409.65 × 12,238.23
  4. Step 4: Simplify right side
    21,309.29x = 359,922,060.92
  5. Step 5: Solve for x
    x = 359,922,060.92/21,309.29
  6. Step 6: Final answer
    x = 16,890.38

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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.