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Finding the Fourth Proportional to 21,309.12, 29,406.60 and 12,816

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Solution

The fourth proportional to 21,309.12, 29,406.60 and 12,816 is: 17,686.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,309.12 : 29,406.60 = 12,816 : x
  2. Step 2: Convert to fraction form
    21,309.12/29,406.60 = 12,816/x
  3. Step 3: Cross multiply
    21,309.12x = 29,406.60 × 12,816
  4. Step 4: Simplify right side
    21,309.12x = 376,874,985.60
  5. Step 5: Solve for x
    x = 376,874,985.60/21,309.12
  6. Step 6: Final answer
    x = 17,686.09

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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.