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Finding the Fourth Proportional to 16,296.56, 22,498.80 and 11,816

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Solution

The fourth proportional to 16,296.56, 22,498.80 and 11,816 is: 16,313.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,296.56 : 22,498.80 = 11,816 : x
  2. Step 2: Convert to fraction form
    16,296.56/22,498.80 = 11,816/x
  3. Step 3: Cross multiply
    16,296.56x = 22,498.80 × 11,816
  4. Step 4: Simplify right side
    16,296.56x = 265,845,820.80
  5. Step 5: Solve for x
    x = 265,845,820.80/16,296.56
  6. Step 6: Final answer
    x = 16,313.00

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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.