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Finding the Fourth Proportional to 21,726.50, 32,602.07 and 11,731.11

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Solution

The fourth proportional to 21,726.50, 32,602.07 and 11,731.11 is: 17,603.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,726.50 : 32,602.07 = 11,731.11 : x
  2. Step 2: Convert to fraction form
    21,726.50/32,602.07 = 11,731.11/x
  3. Step 3: Cross multiply
    21,726.50x = 32,602.07 × 11,731.11
  4. Step 4: Simplify right side
    21,726.50x = 382,458,469.40
  5. Step 5: Solve for x
    x = 382,458,469.40/21,726.50
  6. Step 6: Final answer
    x = 17,603.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.