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Finding the Fourth Proportional to 21,205.30, 29,726.30 and 21,205.30

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Solution

The fourth proportional to 21,205.30, 29,726.30 and 21,205.30 is: 29,726.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,205.30 : 29,726.30 = 21,205.30 : x
  2. Step 2: Convert to fraction form
    21,205.30/29,726.30 = 21,205.30/x
  3. Step 3: Cross multiply
    21,205.30x = 29,726.30 × 21,205.30
  4. Step 4: Simplify right side
    21,205.30x = 630,355,109.39
  5. Step 5: Solve for x
    x = 630,355,109.39/21,205.30
  6. Step 6: Final answer
    x = 29,726.30

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.