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Finding the Fourth Proportional to 21,728.50, 29,985.34 and 11,792.50

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Solution

The fourth proportional to 21,728.50, 29,985.34 and 11,792.50 is: 16,273.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,728.50 : 29,985.34 = 11,792.50 : x
  2. Step 2: Convert to fraction form
    21,728.50/29,985.34 = 11,792.50/x
  3. Step 3: Cross multiply
    21,728.50x = 29,985.34 × 11,792.50
  4. Step 4: Simplify right side
    21,728.50x = 353,602,121.95
  5. Step 5: Solve for x
    x = 353,602,121.95/21,728.50
  6. Step 6: Final answer
    x = 16,273.66

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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.