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Finding the Fourth Proportional to 21,622.50, 29,839.05 and 11,686.50

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Solution

The fourth proportional to 21,622.50, 29,839.05 and 11,686.50 is: 16,127.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,622.50 : 29,839.05 = 11,686.50 : x
  2. Step 2: Convert to fraction form
    21,622.50/29,839.05 = 11,686.50/x
  3. Step 3: Cross multiply
    21,622.50x = 29,839.05 × 11,686.50
  4. Step 4: Simplify right side
    21,622.50x = 348,714,057.83
  5. Step 5: Solve for x
    x = 348,714,057.83/21,622.50
  6. Step 6: Final answer
    x = 16,127.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.