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Finding the Fourth Proportional to 21,029.58, 29,020.32 and 11,598.30

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Solution

The fourth proportional to 21,029.58, 29,020.32 and 11,598.30 is: 16,005.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,029.58 : 29,020.32 = 11,598.30 : x
  2. Step 2: Convert to fraction form
    21,029.58/29,020.32 = 11,598.30/x
  3. Step 3: Cross multiply
    21,029.58x = 29,020.32 × 11,598.30
  4. Step 4: Simplify right side
    21,029.58x = 336,586,377.46
  5. Step 5: Solve for x
    x = 336,586,377.46/21,029.58
  6. Step 6: Final answer
    x = 16,005.38

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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.